###############################################################################
# Libraries to use
###############################################################################
import matplotlib
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.patheffects as path_effects
from scipy.integrate import odeint
from scipy.optimize import minimize
from scipy.optimize import curve_fit
import copy
Formaldehyde ($C_1$) and Glycolaldehyade ($C_2$) are in equilibrium with hydrated oligomers. We derive an average molar volume for dissolved $C_1$ and $C_2$, considering that hydrated monomers strongly dominate larger oligomers and non-hydrated forms.
For $C_1$, Winkelman et al. 2000 find $\rho_{C1}-\rho_{H2O}=(0.051-6.8*10^{-5}*T)*W$ where $W$ is the weight fraction. At 313 K, $\rho_{C1}-\rho_{H2O}=0.03*W$. For concentrations around 1M, $W\approx \mu_{C1} c_{C1}$. We have $v_{C1}=\mu_{C1}(1-0.03)=0.0029 L.mol^{-1}$.
#experimental data of the density of C2 in water measured in the lab by Alex
C=[0,1,2,4,6,7]
RHO=[0.997,1.006,1.026,1.064,1.104,1.123]
#affine fit
p = np.polyfit(C,RHO,1)
display(p)
#display fit
CC=np.linspace(0,8,20)
Rholist=p[0]*CC+p[1]
plt.plot(C,RHO,'o',markersize=8,label='Data')
plt.plot(CC,Rholist,linewidth=3,label=r'$v_m$ formula')
plt.ylabel('Density (kg/L)',size=20)
plt.xlabel('Concentration (M)',size=20)
plt.xticks(size=16)
plt.yticks(size=16)
plt.legend(fontsize=16)
#known constants
vH2O=0.01807422 #molar volume of water
mC2 = 0.06 #kg/mol molar mass of C2
#compute molar volume of C2
vC2 = mC2-p[0]
display(vC2)
#plt.savefig('densityC2.eps',dpi=1000,bbox_inches='tight')
array([0.01861864, 0.99127119])
0.04138135593220335
For every dataset, the unknown parameters to be fitted are $\bar{P}_{H2O}, \bar{P}_{X}$, which are related to corresponding $P's$ through the geometric dependence $P=\bar{P} A_{red}$.
The fitting procedure finds parameters that minimize the error for the data $V_A$ and $V_B$ simultaneously. The amplitude of the noise prevents an accurate determination of the initial condition, and we therefore test a variety of initial conditions and use the estimation of $\bar{P}$ for those conditions that minimize the error.
Let us first define the functions to construct the model as outlined above
def MakeModel2(PH2O,PC2,NN):
NH2OA,NH2OB,=NN[0],NN[1]
N2A,N2B=NN[2],NN[3]
VA,VB=(N2A*vC2+NH2OA*vH2O),(N2B*vC2+NH2OB*vH2O)
NAT=NH2OA+N2A
NBT=NH2OB+N2B
PP=VA**(2.0/3.0)*VB**(2.0/3.0)/(VA**(2.0/3.0)+VB**(2.0/3.0)) #effective exchange area
JH2O=-PH2O*PP*(NH2OA/(NAT)-NH2OB/(NBT))
JC2=-PC2*PP*(N2A/(NAT)-N2B/(NBT))
Equation1=JH2O #dH2OA/dt
Equation2=-JH2O #dH2OB/dt
Equation3=JC2 #d2A/dt
Equation4=-JC2 #d2B/dt
return [Equation1,Equation2,Equation3,Equation4]
def InitEq(Inta,V1,V2,Stime):
NN=ModelSolver2(Stime,0.0,0.0,Inta)
NH2OA,NH2OB,N2A,N2B=NN[-1]
Va=(N2A*vC2+NH2OA*vH2O)
Vb=(N2B*vC2+NH2OB*vH2O)
DH2Oa=(V1-Va)/vH2O
DH2Ob=(V2-Vb)/vH2O
Eqin=NN[-1]+[DH2Oa,DH2Ob,0,0]
return Eqin
def ModelSolver2(Stim,PA,PB,InitialConditions):
cPA=PA
cPB=PB
cInit=InitialConditions
def LocalModel2(cInit,Stim):
return MakeModel2(cPA,cPB,cInit)
Solution=odeint(LocalModel2,cInit,Stim)
return Solution
def ModelFit2XG(Stim,Pa,Pb):
return Vconv2XG(ModelSolver2(Stim,Pa,Pb,Int))
def Vconv2XG(NN):
VA,VB=[],[]
for k in range (len(NN)):
NH2OA,NH2OB=NN[k][0],NN[k][1]
N2A,N2B=NN[k][2],NN[k][3]
VA.append(N2A*vC2+NH2OA*vH2O)
VB.append(N2B*vC2+NH2OB*vH2O)
VCOMP,VCOMPG=VA,VA[TG:]
for k in range(len(VB)):
VCOMP.append(VB[k])
for k in range(TG,len(VB)):
VCOMPG.append(VB[k])
return VCOMPG
def Vconv2(NN):
VA,VB=[],[]
for k in range (len(NN)):
NH2OA,NH2OB=NN[k][0],NN[k][1]
N2A,N2B=NN[k][2],NN[k][3]
VA.append(N2A*vC2+NH2OA*vH2O)
VB.append(N2B*vC2+NH2OB*vH2O)
return VA,VB
DTG=20
LV=4
def Fsol(INTL2, VtoPlot,start):
global Int
Vlist=VtoPlot
FsolLG=[]
LV=int((len(VtoPlot)-start)/2)
DTG=20
TG=len(Vlist[0])+DTG
SolverTimeB=np.linspace(-DTG,TG-DTG,num=TG)
for k in range(LV):
VA,VB=INTL2[k+start-1][2],INTL2[k+start-1][3]
Pwat,Px=INTL2[k+start-1][0],INTL2[k+start-1][1]
V0,C2A,C2B=1.0,0.8,8.0
VC2A=vC2*C2A
VH2OA=(V0-VC2A)
NH2OA,NC2A=VH2OA/vH2O,VC2A/vC2
VC2B=vC2*C2B
VH2OB=(V0-VC2B)
NH2OB,NC2B=VH2OB/vH2O,VC2B/vC2
Int0=np.array([NH2OA*VA,NH2OB*VB,NC2A*VA,NC2B*VB])
Int=InitEq(Int0,VA,VB,SolverTimeB)
FitSolution=ModelSolver2(SolverTimeB,Pwat,Px,Int)
FsolLG.append(Vconv2(FitSolution)[0])
FsolLG.append(Vconv2(FitSolution)[1])
return FsolLG
def Fsoleven(INTL2, VtoPlot,start):
global Int
Vlist=VtoPlot
FsolLG=[]
LV=int((len(VtoPlot)-start)/2)
DTG=20
TG=len(Vlist[0])+DTG
SolverTimeB=np.linspace(-DTG,TG-DTG,num=TG)
for k in range(LV):
VA,VB=INTL2[k][2],INTL2[k][3]
Pwat,Px=INTL2[k][0],INTL2[k][1]
V0,C2A,C2B=1.0,8.0,0.8
VC2A=vC2*C2A
VH2OA=(V0-VC2A)
NH2OA,NC2A=VH2OA/vH2O,VC2A/vC2
VC2B=vC2*C2B
VH2OB=(V0-VC2B)
NH2OB,NC2B=VH2OB/vH2O,VC2B/vC2
Int0=np.array([NH2OA*VA,NH2OB*VB,NC2A*VA,NC2B*VB])
Int=InitEq(Int0,VA,VB,SolverTimeB)
FitSolution=ModelSolver2(SolverTimeB,Pwat,Px,Int)
FsolLG.append(Vconv2(FitSolution)[0])
FsolLG.append(Vconv2(FitSolution)[1])
return FsolLG
def PLVF3(FsolLG,VtoPlot,start):
matplotlib.pyplot.subplots_adjust(left=None, bottom=None, right=1.9, top=3.1, wspace=0.3, hspace=0.5)
Vlist=VtoPlot
LV=int((len(VtoPlot)-start)/2)
SolverTime=np.linspace(0,len(Vlist[0]),num=len(Vlist[0]))
SolverTimeB=np.linspace(-DTG,len(Vlist[0]),num=len(FsolLG[0]))
ymin=min(FsolLG[0]+FsolLG[1]+FsolLG[2]+FsolLG[3])*0.85
ymax=max(FsolLG[0]+FsolLG[1]+FsolLG[2]+FsolLG[3])*1.2
for k in range(LV):
LAB=int('32'+str(k+1))
plt.subplot(LAB)
VNN=[0.5*(Vlist[2*k+start+1][pp]+Vlist[2*k+start-1][pp]) for pp in range(len(Vlist[2*k+start+1]))]
#plt.ticklabel_format(style='sci', axis='y', scilimits=(0,0))
#plt.plot(SolverTime,Vlist[2*k+start-1],'bo',alpha=0.3)#,label=r'$V_x$ data')
plt.plot(SolverTime,VNN,'bo',alpha=0.3,label=r'$\frac{1}{2} (V_{k-1} + V_{k+1}) $ data')
plt.plot(SolverTime,Vlist[2*k+start],'ro',alpha=0.3,label=r'$V_k$ data')
plt.plot(SolverTimeB,FsolLG[2*k], 'c',linewidth=3,label=r'Fit')
plt.plot(SolverTimeB,FsolLG[2*k+1],'m',linewidth=3,label=r'Fit')
#plt.xlim(-4,195)
plt.ylim(50,160)
plt.ylabel('Volume',size=20)
plt.xlabel('Time (min)',size=20)
plt.xticks(size=16)
plt.yticks(size=16)
plt.ylim(ymin,ymax) #min(FsolLG[2*k]+FsolLG[2*k+1])*0.9,max(FsolLG[2*k]+FsolLG[2*k+1])*1.1)
#plt.legend(loc=2,fontsize=12,ncol=4)
def FitOdd(VtoList,start):
Vlist=VtoList #droplet volumes to fit
LVin,LVout=0,int((len(VtoList)-start)/2)
global Int, TG
INTLGX=[] #stores output
Vlist=VtoList #droplet volumes to fit
#npts,nbound=50,12 #10,10
npts,nbound=7,10.0 #10,10 # number of points, bounds
Vsmall=75.0 #starting volume
Vbig=120.0 #final volume
kl1=np.linspace(-nbound,nbound,npts)
kl2=np.linspace(-nbound,nbound,npts)
for LL in range(LVin,LVout):
Vx,Vy=[(Vlist[2*LL+start-1][k]+Vlist[2*LL+start+1][k])/2 for k in range(len(Vlist[0])) ],Vlist[2*LL+start]
VM=[Vx[i] for i in range(len(Vx))]
for j in range(len(Vy)):
VM.append(Vy[j])
pplist,varlist,Ssqlist=[],[],[]
SolverTime=np.linspace(0,len(Vx),num=len(Vx))
DTG=20
#DA,DB=16,-10
TG=DTG
SolverTimeB=np.linspace(-DTG,len(Vx),num=len(Vx)+DTG)
for p1 in kl1:
for p2 in kl2:
Pwat,Px=10.0,3.0 #initial guess
VA,VB=Vbig +p1 , Vsmall +p2
V0,C2A,C2B=1.0,0.8,8.0
VC2A=vC2*C2A
VH2OA=(V0-VC2A)
NH2OA,NC2A=VH2OA/vH2O,VC2A/vC2
VC2B=vC2*C2B
VH2OB=(V0-VC2B)
NH2OB,NC2B=VH2OB/vH2O,VC2B/vC2
Int0=np.array([NH2OA*VA,NH2OB*VB,NC2A*VA,NC2B*VB])
Int=InitEq(Int0,VA,VB,SolverTime)
ModelParams01=curve_fit(ModelFit2XG,SolverTimeB,VM,absolute_sigma=True,method='trf',bounds=((0,100))) #method='lm')
FitV=ModelParams01
Pwat=FitV[0][0]
Px=FitV[0][1]
FitSolution=ModelSolver2(SolverTimeB,Pwat,Px,Int)
Vxsol=Vconv2(FitSolution)[0]
Vxf=Vxsol[TG:]
Vysol=Vconv2(FitSolution)[1]
Vyf=Vysol[TG:]
SS=[((Vx[n]-Vxf[n])/Vxf[n])**2 + 4.0*((Vy[n]-Vyf[n])/Vyf[n])**2 for n in range(len(Vx))]
Ssq=sum(SS)
Ssqlist.append(copy.deepcopy(Ssq))
varlist.append(copy.deepcopy(FitV[1][1][1]+FitV[1][0][0]))
pplist.append([ copy.deepcopy(FitV[1][1][1]+FitV[1][0][0]),copy.deepcopy(p2)*1.0,copy.deepcopy(FitV[0][0]),copy.deepcopy(FitV[0][1]),copy.deepcopy(p1)*1.0,copy.deepcopy(Vxsol),copy.deepcopy(Vysol),copy.deepcopy(Vx),copy.deepcopy(Vy)])
index = Ssqlist.index(min(Ssqlist))
INTLGX.append([pplist[index][2],pplist[index][3],Vbig + pplist[index][4],Vsmall + pplist[index][1],pplist[index][5],pplist[index][6],pplist[index][7],pplist[index][8]])
return INTLGX
def FitEven(VtoList,start):
Vlist=VtoList #droplet volumes to fit
LVin,LVout=0,int((len(VtoList)-start)/2)
global Int, TG
INTLGX=[] #stores output
Vlist=VtoList #droplet volumes to fit
#npts,nbound=50,12 #10,10
npts,nbound=9,15.0 #10,10 # number of points, bounds
Vsmall=75.0 #starting volume
Vbig=120.0 #final volume
kl1=np.linspace(-nbound,nbound,npts)
kl2=np.linspace(-nbound,nbound,npts)
for LL in range(LVin,LVout):
Vx,Vy=[(Vlist[2*LL+start-1][k]+Vlist[2*LL+start+1][k])/2 for k in range(len(Vlist[0])) ],Vlist[2*LL+start]
VM=[Vx[i] for i in range(len(Vx))]
for j in range(len(Vy)):
VM.append(Vy[j])
pplist,varlist,Ssqlist=[],[],[]
SolverTime=np.linspace(0,len(Vx),num=len(Vx))
DTG=20
#DA,DB=16,-10
TG=DTG
SolverTimeB=np.linspace(-DTG,len(Vx),num=len(Vx)+DTG)
for p1 in kl1:
for p2 in kl2:
Pwat,Px=10.0,3.0 #initial guess
VA,VB=Vsmall +p1 , Vbig +p2
V0,C2A,C2B=1.0,8.0,0.8
VC2A=vC2*C2A
VH2OA=(V0-VC2A)
NH2OA,NC2A=VH2OA/vH2O,VC2A/vC2
VC2B=vC2*C2B
VH2OB=(V0-VC2B)
NH2OB,NC2B=VH2OB/vH2O,VC2B/vC2
Int0=np.array([NH2OA*VA,NH2OB*VB,NC2A*VA,NC2B*VB])
Int=InitEq(Int0,VA,VB,SolverTime)
ModelParams01=curve_fit(ModelFit2XG,SolverTimeB,VM,absolute_sigma=True,method='trf',bounds=((0,100))) #method='lm')
FitV=ModelParams01
Pwat=FitV[0][0]
Px=FitV[0][1]
FitSolution=ModelSolver2(SolverTimeB,Pwat,Px,Int)
Vxsol=Vconv2(FitSolution)[0]
Vxf=Vxsol[TG:]
Vysol=Vconv2(FitSolution)[1]
Vyf=Vysol[TG:]
SS=[4.0*((Vx[n]-Vxf[n])/Vxf[n])**2 + 1.0*((Vy[n]-Vyf[n])/Vyf[n])**2 for n in range(len(Vx))]
Ssq=sum(SS)
Ssqlist.append(copy.deepcopy(Ssq))
varlist.append(copy.deepcopy(FitV[1][1][1]+FitV[1][0][0]))
pplist.append([ copy.deepcopy(FitV[1][1][1]+FitV[1][0][0]),copy.deepcopy(p2)*1.0,copy.deepcopy(FitV[0][0]),copy.deepcopy(FitV[0][1]),copy.deepcopy(p1)*1.0,copy.deepcopy(Vxsol),copy.deepcopy(Vysol),copy.deepcopy(Vx),copy.deepcopy(Vy)])
index = Ssqlist.index(min(Ssqlist))
INTLGX.append([pplist[index][2],pplist[index][3],Vsmall + pplist[index][4],Vbig + pplist[index][1],pplist[index][5],pplist[index][6],pplist[index][7],pplist[index][8]])
return INTLGX
# C2, 40 muM droplet separation ----------
Vw1=[109.344029419429, 107.076845354897, 108.976661679276, 106.188127906385, 100.18513826038, 111.707430463315, 103.83197318846, 97.961743689984, 101.90904361334, 100.601980639964, 99.8372591938593, 102.973822677354, 108.159181436955, 103.913201581083, 110.165400529247, 109.480868066745, 102.177880199157, 104.836666475526, 104.864470447321, 106.35888266443, 101.338493902729, 104.967592127776, 104.266338945159, 104.415038543038, 105.159206349517, 100.602871200035, 103.56674875063, 101.691862444461, 114.519393977629, 98.0617007583244, 107.041614622811, 98.155938706944, 104.824708086613, 100.814645551875, 104.952826360071, 113.220360964215, 98.6174803681856, 103.290364154216, 108.323331825163, 101.285404811229, 102.978877368668, 98.9957907324619, 110.630783213967, 98.6933588021371, 106.995919716793, 101.730945993964, 101.202658046903, 98.6639050052882, 104.800230738132, 103.878592345383, 102.700091889808, 102.719296999971, 101.731131065086, 101.30980188386, 102.073960102257, 98.4383083893072, 100.122528611344, 100.204669411227, 109.85859687554, 100.817847237018, 100.958411682487, 101.766231317871, 99.2231343193039, 103.433747732475, 103.385884349705, 99.4869581914207, 99.3928944616589, 100.2862570979, 100.814570272953, 104.571804149263, 103.741897761907, 96.3694362800957, 105.722143905968, 101.761268767586, 99.3479449043624, 104.370517195315, 101.774278975943, 106.475681191331, 97.6240891251503, 100.754139302902, 103.872625417003, 103.921371239969, 101.37843129738, 102.924328457674, 100.527930156749, 103.967080358878, 96.3546083065803, 97.5927561027394, 102.04409895789, 97.1389501239347, 102.96787540899, 105.228167865763, 99.7232234028824, 102.01149695402, 100.679338285101, 103.904357009128, 99.6406178263847, 100.485176417586, 101.3247346083, 107.80175730877, 108.030872115265, 103.483821556258, 101.28202054542, 99.8140246608927, 98.7434943887747, 99.9544125428946, 105.516678551436, 97.1587917101082, 100.124021220981, 95.6435431655618, 101.556401463653, 98.685634682541, 94.8748639590354, 100.137130628846, 96.0121299744712, 102.219307265391, 98.0801745761089, 90.2573846658578, 98.2861029517373, 95.1366447952993, 94.5076337208208, 99.8197072843673, 93.9469428634028, 94.3048711991573, 97.9406143786755, 95.1829518444577, 95.2158892494106, 94.587693524485, 94.9192886697262, 96.8800139264203, 96.7422101904692, 99.5956997741782, 96.4865757966013, 97.1822064244715, 96.7901412468574, 96.6535368835234, 95.3211696029644, 98.8972284741551, 90.0457355782707, 92.1016932144254, 95.1818039543906, 97.5903238282011, 97.4511543228128, 95.4540466942979, 93.8131860817296, 96.9755163133891, 95.8551827732875, 96.2267874908326, 94.4224874895887, 99.9128411955264, 97.6420511498898, 102.687238853449, 96.0483091474676, 93.5002811845781, 91.7102275110686, 98.3766635942043, 93.2498238505361, 95.5662452078967, 96.3701707023218, 96.4473207577324, 92.8296449351305, 90.662076430941, 96.2633166541833, 91.3392372330885, 89.6124303674506, 93.8284274120562, 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Vex1,Vex2,Vex3,Vex4=Vw1
Vex5,Vex6,Vex7,Vex8,Vex9=Vw2
Vlist40=[Vex1,Vex2,Vex3,Vex4,Vex5,Vex6,Vex7,Vex8,Vex9]
# --------------------
# C2, 30 muM droplet separation
Vw301=[83.2097990738937, 87.5222435150124, 91.7001648826975, 95.8643388677443, 84.1488516864076, 94.1866242778173, 92.3266673811341, 86.3940368790533, 82.552569645124, 76.871971965165, 82.2617960529355, 79.4375683914623, 82.1933066575157, 74.8187365498864, 79.0855320693729, 79.8608687187895, 83.5764269170401, 84.492048091715, 79.7167053323024, 84.5324596543831, 80.0355373101927, 81.8351552589531, 78.4662580287797, 82.8664854854636, 82.1273975082124, 78.8162008965011, 83.6359405778506, 83.7052540682681, 87.8053423460623, 76.9428234209459, 78.7033298953274, 82.919924947568, 82.0099462893756, 80.6534094176209, 75.2139251833914, 81.7862026600442, 76.2661812034359, 76.7220275093503, 78.46876599241, 75.1918142539646, 79.0197512611246, 79.1518927839603, 79.0535242073279, 80.9832826508313, 83.3911683827616, 80.2039336643206, 83.6794036098445, 76.2601466349969, 76.9327273329034, 77.5599515458854, 77.9119714945583, 77.5874113218779, 79.1854990109735, 74.6784821018572, 80.7020044084153, 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Vex301,Vex302,Vex303,Vex304=Vw301 #resplit the 4 arrays recorded in Vw301 into 4 separate arrays
Vex305,Vex306,Vex307,Vex308,Vex309=Vw302
Vlist30=[Vex301,Vex302,Vex303,Vex304,Vex305,Vex306,Vex307,Vex308]
# --------------------
# C2, 20 muM droplet separation
Vw201=[91.9530090516643, 93.7089653191568, 91.683414553059, 96.3217392015708, 99.6636540174439, 95.5574242778598, 96.4021696140405, 97.6594256608072, 89.3961858919627, 98.59116578634, 88.5569618090289, 98.1324302147081, 102.649020731133, 94.9066023564447, 94.6869070340114, 94.4425984564544, 103.276311115658, 88.4769154485991, 92.3680520806747, 91.2289562038898, 88.4400678242281, 96.5111369168888, 89.7582335564912, 94.9497668572696, 92.8635815748024, 87.9539796263212, 86.5421162438082, 88.2763395744397, 92.0994313563236, 92.4872087033618, 92.9933231786962, 97.3983714588864, 97.5180868108, 91.0347311122388, 92.2629384979106, 89.1273579762787, 106.106511425338, 89.5227935293357, 92.8371367308169, 96.480764874921, 85.0748865431133, 88.0303930957915, 80.6567289570885, 90.0059737277363, 86.906790774627, 87.2290914101041, 86.9865569586004, 90.0537691044934, 84.9236574693298, 85.6482382641944, 85.0988444352562, 84.0867227444542, 85.6301037966504, 84.903206421769, 84.9567749960603, 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110.000425703409, 111.250523213711, 114.74315281835, 115.644481853306, 115.983837888723, 115.97938228004, 115.003940137925, 114.939538032279, 110.225621253746, 110.725369540727, 117.862635016933, 116.009730074619, 117.137329434379, 115.240376153453, 118.564620140969, 115.681231070547, 111.442977596379, 119.894371553743, 117.716158028096, 121.022847832321, 122.736557321945, 120.538106309353, 116.601368570878, 116.137052607791, 117.674195682231, 122.844846373612, 116.282305512931, 122.437686832467, 112.6903261663, 122.846956712245, 119.523785485609, 117.592430880546, 117.515221143949, 117.097930634833, 124.098646952219, 121.926469564285, 123.55697918557, 119.283375563851, 120.149233172969, 118.990296101493, 120.986198321796, 115.690635635118, 119.93534921638, 118.80398171784, 113.752701773638, 117.206406855868, 116.462168627075, 119.829942765364, 122.719149785544, 122.445114598692, 115.6429477426, 119.761596985517, 124.392983714978, 120.8102764076, 118.207447475168, 114.683617176549, 114.23381140201, 117.087743635603, 116.18973298716, 123.001340957488, 120.716010141588, 120.445214880747, 114.987659479437, 119.221481884934, 117.166179595398, 116.332893950448, 113.894566062704, 121.121071791307, 115.550496632292, 118.167351525922, 120.751020937525, 119.306769844781, 117.211276356417, 123.086134007338, 121.629788560985, 120.091010699628, 120.985241580747, 119.793404110492, 118.351901550339, 116.178101710812, 126.456780647501, 118.826840095181, 119.398984204085, 116.653790714694, 119.024430210425], [94.8764079188035, 96.9785461631829, 94.0260216019715, 99.2700037396877, 97.763032886065, 102.72482846982, 97.8113972402593, 100.51782710363, 92.8532798689569, 92.8773014908945, 95.7487770232762, 95.6650848340479, 97.4429957972387, 97.7389249110527, 95.5356109899317, 97.8231044359695, 98.6733101950773, 94.5859087924443, 91.3104133254023, 96.9270263906693, 91.1715215409067, 91.6530186029518, 94.8408803273004, 86.6991025077146, 99.4024768787624, 92.1749881340458, 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94.4407984378816, 95.322608239559, 93.3106180377494, 93.0149941119708, 96.2132947041235, 95.0173433035965, 90.7036093736651, 95.543855649911, 91.0921340618825, 98.4758792151605, 101.229015680126, 93.6768035993537, 97.2561665067121, 93.7111476827159, 95.2007135814777, 92.3764804868755, 96.2584910377158, 97.2838040671338, 103.244943878328, 101.604614323956, 100.616428262741, 94.8304768935558, 95.1839636607638, 98.8225139171516, 100.296446972371, 96.4699599788448, 96.9145105381549, 101.606290881985, 103.860124655778, 97.178648122394, 101.543636080276, 96.4815034862575, 101.15178567657, 100.865719913309, 96.1599082385375, 97.8971811153742, 103.114871080272, 101.787228307454, 104.305555368482, 109.649674852751, 98.5751812385748, 109.920649038892, 98.1786394064641, 105.228453290742, 106.087381073425, 103.410844135678, 106.973709771202, 101.182349156334, 103.149544386794, 103.061796010627, 108.925735662754, 112.39733750405, 105.430417362656, 107.329520084357, 105.532554237137, 106.324030116412, 100.436746748763, 107.829668470627, 106.195655325747, 105.880872353719, 106.370410030035, 113.954252171919, 109.634751899395, 106.209775618447, 107.740759307213, 111.912979412334, 110.131899024632, 107.042851629667, 111.785064850234, 110.366463586011, 106.18076022048, 111.028751214813, 113.407270725458, 110.89707964779, 106.804912378232, 112.182100073603, 108.46771315095, 111.781659242181, 109.03516228331, 112.470495909298, 112.714811372704, 108.304918700278, 108.972433653742, 114.946741857659, 109.584749949092, 115.084426589013, 115.143346813204, 114.369179818498, 113.084428080961, 108.079745207009, 113.134510610781, 112.697701654797, 113.780946237841, 110.439709636627, 110.690720090986, 112.128719061773, 115.268570001061, 116.314098829664, 112.978487081016, 111.567222153601, 110.443165024394, 110.186346971337, 113.934270438279, 111.565560401951, 110.687709111571, 110.092667283537, 112.952807789535, 116.873089055711, 116.474432068553, 114.621205437629, 115.947712186932, 112.840346299854, 112.916014643679, 110.134057477239, 114.71056372438, 118.758493928648, 116.317063267751, 121.308892692156, 111.055935187808, 118.441523643674, 113.200531355727, 113.491580002173, 120.524548201639, 113.202231425826, 107.287800256179, 115.513033051109, 110.117715689464, 119.818042155218, 117.304281213774, 117.212817990273, 114.71179885661, 116.760533373912, 116.754387140867, 114.30497480151, 114.765731737729, 118.234397559338, 123.854087895351, 120.357472806438, 116.477481362681, 118.809171634246, 117.122028039351, 115.255641735045, 120.914681430113, 117.831193358139, 124.126961734914, 114.877188013067, 118.869699312189, 117.427180539922, 112.193501809041, 114.534637112092, 119.971371653942, 112.398423238469, 114.251756843765, 117.549346995165, 114.334342237168, 121.72360566991, 120.485933863622, 120.114864801256, 111.070403983152, 112.768815113448, 114.954841424138, 119.765299909405, 112.116954264155, 121.221751520288, 119.669918933017, 117.309803774999, 121.776247748564, 113.569939602162, 115.881907653046, 118.259817697653, 119.538283821283, 118.543318684255, 121.276190055766, 122.458513580535, 119.501587646696, 121.091632899856, 118.364476610485, 119.456742768858, 121.435958358494, 117.953123400906, 115.41916005244, 113.539605814242, 116.463027342588]
Vex201,Vex202,Vex203,Vex204,Vex205,Vex206=Vw201
Vex207,Vex208,Vex209,Vex210,Vex211,Vex212=Vw202
Vlist20=[Vex201,Vex202,Vex203,Vex204,Vex205,Vex206,Vex207,Vex208,Vex209,Vex210,Vex211,Vex212]
# --------------------
# C2, 14 muM droplet separation
Vw141=[70.8150440241771, 65.993439761306, 64.6609905929782, 63.5549845446158, 67.728433993727, 63.8760688449362, 62.4443894812126, 62.8760557528657, 61.2697477995817, 61.4078042989868, 58.9375518630038, 60.9819149013409, 57.6045372946847, 58.3449483807265, 58.9764522871935, 69.3213875891396, 66.5148944020366, 61.9447715046307, 59.4227705278597, 64.2010302245975, 66.8749716777451, 62.1677882226538, 61.9514517351384, 60.8048944907663, 60.2574557170278, 60.0115072910592, 61.1600094319971, 56.3554556101883, 60.8080689612119, 54.7920516671737, 62.1202401419781, 59.223585010388, 54.2074784318449, 59.0691308449249, 55.9763446985342, 54.9417049189203, 54.7186601057195, 56.4934443853217, 50.1582048490061, 55.6623169230595, 54.5566024619646, 51.0505382938704, 52.3995626859201, 51.2599035173527, 54.608774772933, 49.2040336732383, 55.2613303611613, 51.1798717636261, 55.334034024982, 55.0186183233856, 55.2359287222828, 53.8764892625922, 59.1803064400198, 54.8582407035088, 56.8736140885509, 55.8590884306944, 48.4537280842731, 53.8890399170646, 51.5589110292151, 54.3983051236806, 51.751547874634, 55.5414838891166, 54.1565257955842, 58.7143773015354, 56.6257723766824, 54.4991619457902, 53.5817857188778, 53.7104179674858, 54.3078882010686, 54.4865991888569, 58.9414636326479, 56.3498522282752, 51.9571369692266, 52.1976520087964, 56.6794742708808, 55.4289942274759, 51.4342279397691, 52.9964137299021, 54.7583698501552, 52.5392169733684, 50.1302320155557, 51.245167081938, 54.1083745594919, 57.8954729234553, 53.9552459458152, 53.7897972411465, 52.9320577408795, 55.4141143036778, 52.4699685121617, 55.633520412329, 51.3624340385618, 51.5420119874981, 55.1098461505667, 51.5247761534625, 53.7428517327207, 47.7659957434526, 49.1116821149366, 52.5801501175489, 50.4875529500021, 51.731665273306, 51.2062748276884, 53.9058934096675, 52.9436401285819, 52.2917705221576, 53.9472487994941, 52.7141068041785, 52.2473543941431, 55.103514329741, 50.9584302665821, 51.2049265728412, 53.7799897876112, 47.4886176595171, 53.055668371103, 47.2281271016367, 49.1262880429621, 50.7960549761233, 50.7278820897227, 50.8827798545868, 50.5842093588632, 47.5760365554931, 50.6556299524679, 48.8561289313198, 52.4936845180505, 54.7221401059136, 48.2885270166841, 47.2824950965814, 49.4575007820733, 51.9780006499109, 54.9437835376951, 50.4686723490688, 47.1253339480614, 47.8657620091438, 49.3052540328782, 52.9382674447953, 48.4859365946941, 51.1052430958878, 48.3943477507236, 50.3710891721937, 51.0320164654816, 50.1533712218492, 51.8707019026964, 51.0558901666506, 50.7011883436667, 50.0740418936939, 51.08434298214, 49.1870627818875, 45.8372861984819, 50.0454106608473, 50.1556265410625, 46.8317653312397, 47.7867033626033, 48.6601616269463, 47.0592751794606, 48.2596106065363, 47.8987567782525, 46.8466641849749, 50.626093969598, 47.1154246571693, 49.6519211423062, 48.3647276223019, 46.8016500872582, 47.2441415137109, 48.801154932562], [100.793170316974, 104.775963237248, 98.8974314204588, 102.353778242632, 100.131131000628, 102.729732595121, 103.03608179992, 104.428043497618, 104.660256798044, 111.577300419623, 104.716169019146, 101.791152424667, 105.238668404238, 105.202692296479, 106.249751608754, 110.464912491167, 109.553031562169, 110.689265725229, 111.480584640464, 106.134848635146, 108.643302365023, 107.098731934927, 108.025694872771, 106.827510800065, 108.628071406743, 107.112129866354, 110.092290339331, 108.023652463651, 108.149855970032, 109.70172946184, 111.177037700923, 110.165638331015, 108.809105769916, 115.747541337721, 108.330138597586, 112.061527733258, 112.428831044821, 109.795981255101, 114.595579834571, 112.696845419901, 115.607707043775, 111.189328041992, 111.765323008495, 115.821201091695, 116.385067622024, 111.87167200481, 106.561086062314, 110.119662450234, 117.418608143006, 115.592872223706, 116.769330227153, 114.623180263939, 113.409977640883, 115.213288524131, 120.168891130638, 115.372783199079, 111.60719235142, 118.024436743762, 116.407794681435, 112.39213750945, 112.877204584047, 115.088884437319, 114.053459919218, 113.084227033964, 111.421460794244, 115.285389076885, 117.613733923229, 115.332958668149, 114.039125842768, 114.310870902133, 119.52902791085, 114.702471599791, 116.611745115572, 120.326313977452, 114.016098788416, 116.499569591993, 115.270997077282, 116.477188549806, 118.544264522574, 119.375408401805, 115.72724652566, 117.713398159035, 116.696984281999, 119.88095865522, 117.094029839101, 113.974331424941, 123.957649382486, 120.485859416908, 115.652211787565, 113.169103352508, 125.321765207657, 117.835343248622, 119.988576322585, 119.306218216284, 127.078548604555, 117.107912062866, 115.745487557223, 122.283166853975, 119.37019441122, 117.110515531831, 123.358287133316, 117.797927699331, 118.878277380254, 118.857690689609, 124.419288159303, 117.776226888309, 117.584296243127, 117.986476429437, 117.232502218688, 116.179622440347, 117.406949046866, 119.612865092137, 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Vex141,Vex142,Vex143,Vex144,Vex145,Vex146=Vw141
Vex147,Vex148,Vex149,Vex1410,Vex1411,Vex1412=Vw142
Vlist14=[Vex141,Vex142,Vex143,Vex144,Vex145,Vex146,Vex147,Vex148,Vex149,Vex1410,Vex1411,Vex1412]
# --------------------
# C2, 8 muM droplet separation
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Vex81,Vex82,Vex83,Vex84,Vex85,Vex86=Vw81
Vex87,Vex88,Vex89,Vex810,Vex811,Vex812=Vw82
Vlist8=[Vex81,Vex82,Vex83,Vex84,Vex85,Vex86,Vex87,Vex88,Vex89,Vex810,Vex811,Vex812]
# --------------------
#RUN THIS SECTION THE FIRST TIME (it will compute and save) THEN COMMENT IT FOR NEXT TIME
#where fits are computed (takes a long time)
#INTLGX40even=FitEven(Vlist40,2)
#INTLGX30even=FitEven(Vlist30,2)
#INTLGX20even=FitEven(Vlist20,2)
#INTLGX14even=FitEven(Vlist14,2)
#INTLGX8even=FitEven(Vlist8,2)
#INTLGX40odd=FitOdd(Vlist40,1)
#INTLGX30odd=FitOdd(Vlist30,1)
#INTLGX20odd=FitOdd(Vlist20,1)
#INTLGX14odd=FitOdd(Vlist14,1)
#INTLGX8odd=FitOdd(Vlist8,1)
#save the transport fits to not have to recompute each time
#concafits = [INTLGX40even, INTLGX30even, INTLGX20even, INTLGX14even, INTLGX8even, INTLGX40odd, INTLGX30odd, INTLGX20odd, INTLGX14odd, INTLGX8odd]
#import pickle
#pickle.dump( concafits, open( "savefitsTransport.p", "wb" ) )
# PN open the saved transport fits from the fits of the above cell
import pickle
temp = pickle.load( open( "savefitsTransport.p", "rb" ) )
[INTLGX40even, INTLGX30even, INTLGX20even, INTLGX14even, INTLGX8even, INTLGX40odd, INTLGX30odd, INTLGX20odd, INTLGX14odd, INTLGX8odd] = temp
FsolLG40=Fsoleven(INTLGX40even,Vlist40,2) #generating the model curve with the values that have been fitted.
PLVF3(FsolLG40,Vlist40,2) # calling the function to make the figures
#plt.savefig('8M_08M_C2_Even_40muMavgNN.eps',dpi=1000,bbox_inches='tight')
FsolLG30=Fsoleven(INTLGX30even,Vlist30,2)
PLVF3(FsolLG30,Vlist30,2)
#plt.savefig('8M_08M_C2_Even_30muMavgNN.eps',dpi=1000,bbox_inches='tight')
FsolLG20=Fsoleven(INTLGX20even,Vlist20,2)
PLVF3(FsolLG20,Vlist20,2)
#plt.savefig('8M_08M_C2_Even_20muMavgNN.eps',dpi=1000,bbox_inches='tight')
FsolLG14=Fsoleven(INTLGX14even,Vlist14,2)
PLVF3(FsolLG14,Vlist14,2)
#plt.savefig('8M_08M_C2_Even_14muMavgNN.eps',dpi=1000,bbox_inches='tight')
FsolLG8=Fsoleven(INTLGX8even,Vlist8,2)
PLVF3(FsolLG8,Vlist8,2)
#plt.savefig('8M_08M_C2_Even_8muMavgNN.eps',dpi=1000,bbox_inches='tight')
FsolLG40r=Fsol(INTLGX40odd,Vlist40,1)
PLVF3(FsolLG40r,Vlist40,1)
#plt.savefig('8M_08M_C2_Odd_40muMavgNN.eps',dpi=1000,bbox_inches='tight')
FsolLG30r=Fsol(INTLGX30odd,Vlist30,1)
PLVF3(FsolLG30r,Vlist30,1)
#plt.savefig('8M_08M_C2_Odd_30muMavgNN.eps',dpi=1000,bbox_inches='tight')
FsolLG20r=Fsol(INTLGX20odd,Vlist20,1)
PLVF3(FsolLG20r,Vlist20,1)
#plt.savefig('8M_08M_C2_Odd_20muMavgNN.eps',dpi=1000,bbox_inches='tight')
FsolLG14r=Fsol(INTLGX14odd,Vlist14,1)
PLVF3(FsolLG14r,Vlist14,1)
#plt.savefig('8M_08M_C2_Odd_14muMavgNN.eps',dpi=1000,bbox_inches='tight')
FsolLG8r=Fsol(INTLGX8odd,Vlist8,1)
PLVF3(FsolLG8r,Vlist8,1)
#plt.savefig('8M_08M_C2_Odd_8muMavgNN.eps',dpi=1000,bbox_inches='tight')
#from each fit, extract the fitted of the transport coefficients for water
PwatEL40=[INTLGX40even[k][0] for k in range(len(INTLGX40even))] #extracts first column the result of the fit INTLGX40even
PwatOL40=[INTLGX40odd[k][0] for k in range(len(INTLGX40odd))]
Pwat40=[]
Pwat40.extend(PwatEL40)
Pwat40.extend(PwatOL40)
PwatEL30=[INTLGX30even[k][0] for k in range(len(INTLGX30even))]
PwatOL30=[INTLGX30odd[k][0] for k in range(len(INTLGX30odd))]
Pwat30=[]
Pwat30.extend(PwatEL30)
Pwat30.extend(PwatOL30)
PwatEL20=[INTLGX20even[k][0] for k in range(len(INTLGX20even))]
PwatOL20=[INTLGX20odd[k][0] for k in range(len(INTLGX20odd))]
Pwat20=[]
Pwat20.extend(PwatEL20)
Pwat20.extend(PwatOL20)
PwatEL14=[INTLGX14even[k][0] for k in range(len(INTLGX14even))]
PwatOL14=[INTLGX14odd[k][0] for k in range(len(INTLGX14odd))]
Pwat14=[]
Pwat14.extend(PwatEL14)
Pwat14.extend(PwatOL14)
PwatEL8=[INTLGX8even[k][0] for k in range(len(INTLGX8even))]
PwatOL8=[INTLGX8odd[k][0] for k in range(len(INTLGX8odd))]
Pwat8=[]
Pwat8.extend(PwatEL8)
Pwat8.extend(PwatOL8)
PWEL=[PwatEL40,PwatEL30,PwatEL20,PwatEL14,PwatEL8]
PWOL=[PwatOL40,PwatOL30,PwatOL20,PwatOL14,PwatOL8]
NK=1
PC2EL40=[INTLGX40even[k][NK] for k in range(len(INTLGX40even))]
PC2OL40=[INTLGX40odd[k][NK] for k in range(len(INTLGX40odd))]
PC240=[]
PC240.extend(PC2EL40)
PC240.extend(PC2OL40)
PC2EL30=[INTLGX30even[k][NK] for k in range(len(INTLGX30even))]
PC2OL30=[INTLGX30odd[k][NK] for k in range(len(INTLGX30odd))]
PC230=[]
PC230.extend(PC2EL30)
PC230.extend(PC2OL30)
PC2EL20=[INTLGX20even[k][NK] for k in range(len(INTLGX20even))]
PC2OL20=[INTLGX20odd[k][NK] for k in range(len(INTLGX20odd))]
PC220=[]
PC220.extend(PC2EL20)
PC220.extend(PC2OL20)
PC2EL14=[INTLGX14even[k][NK] for k in range(len(INTLGX14even))]
PC2OL14=[INTLGX14odd[k][NK] for k in range(len(INTLGX14odd))]
PC214=[]
PC214.extend(PC2EL14)
PC214.extend(PC2OL14)
PC2EL8=[INTLGX8even[k][NK] for k in range(len(INTLGX8even))]
PC2OL8=[INTLGX8odd[k][NK] for k in range(len(INTLGX8odd))]
PC28=[]
PC28.extend(PC2EL8)
PC28.extend(PC2OL8)
PC2EL=[PC2EL40,PC2EL30,PC2EL20,PC2EL14,PC2EL8]
PC2OL=[PC2OL40,PC2OL30,PC2OL20,PC2OL14,PC2OL8]
PREL=[]#ratio PH2O/PC2 for even droplets
PROL=[]#ratio PH2O/PC2 for odd droplets
DDE=[PC2EL40,PC2EL30,PC2EL20,PC2EL14,PC2EL8]
nn=0
for LL in [PwatEL40,PwatEL30,PwatEL20,PwatEL14,PwatEL8]:
PREL.append([DDE[nn][k]/LL[k] for k in range(len(LL))])
nn+=1
DDO=[PC2OL40,PC2OL30,PC2OL20,PC2OL14,PC2OL8]
nn=0
for LL in [PwatOL40,PwatOL30,PwatOL20,PwatOL14,PwatOL8]:
PROL.append([DDO[nn][k]/LL[k] for k in range(len(LL))])
nn+=1
PREL,PROL
([[0.05253165958419019, 0.05639992505310053, 0.06407495551287641], [0.06913964471539939, 0.07332092300938683, 0.0749388010456206], [0.07901718401954402, 0.08386917184721751, 0.08775396566312223, 0.07224501270993691, 0.06797003361681228], [0.05579327676018262, 0.06542708445031363, 0.06710119167276143, 0.07992512513887279, 0.07702079872863471], [0.04423474851855576, 0.04654491069933065, 0.05684673218831203, 0.052033956917309165, 0.05416074788518734]], [[0.04525933573782457, 0.055799124104361025, 0.059176870511953195, 0.061767782238955155], [0.058621687081884595, 0.06693804548555862, 0.06976522162939038], [0.08870384890464167, 0.07344384899737788, 0.08650599957084287, 0.07386651682924124, 0.07479551136057962], [0.033830901432182196, 0.053949839416009976, 0.05533764117388565, 0.060846383287538254, 0.0691123497904716], [0.043844703247453765, 0.04438550004559946, 0.0439230769662537, 0.048118835938454216, 0.04296015980851922]])
LDis=[40,30,20,14,8]
for k in range(5):
plt.plot(LDis[k],np.mean(PREL[k]+PROL[k]),'ko',markersize=12)
plt.plot([LDis[k] for jj in range(len(PREL[k]))],PREL[k],'ro',alpha=0.5)
plt.plot([LDis[k] for jj in range(len(PROL[k]))],PROL[k],'bo',alpha=0.5)
plt.ylabel('$P_{C_{C2}}/P_{H_2O}$',size=20)
plt.xlabel('Distance ($\mu m$)',size=20)
plt.xticks(size=16)
plt.yticks(size=16)
#plt.savefig('PC2overPH2O.eps',dpi=1000,bbox_inches='tight')
(array([0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1 ]), [Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, '')])
RMlist=[np.mean(PREL[k]+PROL[k]) for k in range(5)]
RVarlist=[np.var(PREL[k]+PROL[k]) for k in range(5)]
RStdlist=[np.sqrt(np.var(PREL[k]+PROL[k])) for k in range(5)]
RMlist,RStdlist
([0.05642995039189443, 0.06878738716120673, 0.07881710935193162, 0.061834459185085275, 0.047705337221497536], [0.00579238747434306, 0.0052636268933085595, 0.007019276798075914, 0.012560085674487081, 0.004693452343099509])
PRR=[]
for k in range(5):
PRR.extend(PREL[k]+PROL[k])
np.mean(PRR),np.std(PRR),len(PRR)
(0.06258844263478246, 0.013675765267957028, 43)
PwatEL40=[INTLGX40even[k][0] for k in range(len(INTLGX40even))]
PwatOL40=[INTLGX40odd[k][0] for k in range(len(INTLGX40odd))]
Pwat40=[]
Pwat40.extend(PwatEL40)
Pwat40.extend(PwatOL40)
PwatEL30=[INTLGX30even[k][0] for k in range(len(INTLGX30even))]
PwatOL30=[INTLGX30odd[k][0] for k in range(len(INTLGX30odd))]
Pwat30=[]
Pwat30.extend(PwatEL30)
Pwat30.extend(PwatOL30)
PwatEL20=[INTLGX20even[k][0] for k in range(len(INTLGX20even))]
PwatOL20=[INTLGX20odd[k][0] for k in range(len(INTLGX20odd))]
Pwat20=[]
Pwat20.extend(PwatEL20)
Pwat20.extend(PwatOL20)
PwatEL14=[INTLGX14even[k][0] for k in range(len(INTLGX14even))]
PwatOL14=[INTLGX14odd[k][0] for k in range(len(INTLGX14odd))]
Pwat14=[]
Pwat14.extend(PwatEL14)
Pwat14.extend(PwatOL14)
PwatEL8=[INTLGX8even[k][0] for k in range(len(INTLGX8even))]
PwatOL8=[INTLGX8odd[k][0] for k in range(len(INTLGX8odd))]
Pwat8=[]
Pwat8.extend(PwatEL8)
Pwat8.extend(PwatOL8)
PWEL=[PwatEL40,PwatEL30,PwatEL20,PwatEL14,PwatEL8]
PWOL=[PwatOL40,PwatOL30,PwatOL20,PwatOL14,PwatOL8]
plt.plot(LDis,[np.mean(PWEL[k]+PWOL[k]) for k in range(5)],'ko',markersize=12)
plt.plot([40 for k in range(len(PwatEL40))],PwatEL40,'ro',alpha=0.5)
plt.plot([40 for k in range(len(PwatOL40))],PwatOL40,'bo',alpha=0.5)
plt.plot([30 for k in range(len(PwatEL30))],PwatEL30,'ro',alpha=0.5)
plt.plot([30 for k in range(len(PwatOL30))],PwatOL30,'bo',alpha=0.5)
plt.plot([20 for k in range(len(PwatEL20))],PwatEL20,'ro',alpha=0.5)
plt.plot([20 for k in range(len(PwatOL20))],PwatOL20,'bo',alpha=0.5)
plt.plot([14 for k in range(len(PwatEL14))],PwatEL14,'ro',alpha=0.5)
plt.plot([14 for k in range(len(PwatOL14))],PwatOL14,'bo',alpha=0.5)
plt.plot([8 for k in range(len(PwatEL8))],PwatEL8,'ro',alpha=0.5)
plt.plot([8 for k in range(len(PwatOL8))],PwatOL8,'bo',alpha=0.5)
plt.ylabel('$P_{H_2O}$',size=20)
plt.xlabel('Distance ($\mu m$)',size=20)
plt.xticks(size=16)
plt.yticks(size=16)
plt.ylim(min(Pwat40)*0,max(Pwat8)*1.1)
#plt.savefig('PH2O.eps',dpi=1000,bbox_inches='tight')
(0.0, 97.18613044648032)
plt.plot(LDis,[np.mean(PWEL[k]+PWOL[k])*LDis[k] for k in range(5)],'ko',markersize=12)
plt.plot([40 for k in range(len(PwatEL40))],[PwatEL40[k]*40 for k in range(len(PwatEL40))],'ro',alpha=0.5)
plt.plot([40 for k in range(len(PwatOL40))],[PwatOL40[k]*40 for k in range(len(PwatOL40))],'bo',alpha=0.5)
plt.plot([30 for k in range(len(PwatEL30))],[PwatEL30[k]*30 for k in range(len(PwatEL30))],'ro',alpha=0.5)
plt.plot([30 for k in range(len(PwatOL30))],[PwatOL30[k]*30 for k in range(len(PwatOL30))],'bo',alpha=0.5)
plt.plot([20 for k in range(len(PwatEL20))],[PwatEL20[k]*20 for k in range(len(PwatEL20))],'ro',alpha=0.5)
plt.plot([20 for k in range(len(PwatOL20))],[PwatOL20[k]*20 for k in range(len(PwatOL20))],'bo',alpha=0.5)
plt.plot([14 for k in range(len(PwatEL14))],[PwatEL14[k]*14 for k in range(len(PwatEL14))],'ro',alpha=0.5)
plt.plot([14 for k in range(len(PwatOL14))],[PwatOL14[k]*14 for k in range(len(PwatOL14))],'bo',alpha=0.5)
plt.plot([8 for k in range(len(PwatEL8))],[PwatEL8[k]*8 for k in range(len(PwatEL8))],'ro',alpha=0.5)
plt.plot([8 for k in range(len(PwatOL8))],[PwatOL8[k]*8 for k in range(len(PwatOL8))],'bo',alpha=0.5)
plt.ylabel('$P_{H_2O} \ L$',size=20)
plt.xlabel('Distance ($\mu m$)',size=20)
plt.xticks(size=16)
plt.yticks(size=16)
#plt.savefig('PH2OL.eps',dpi=1000,bbox_inches='tight')
(array([ 200., 400., 600., 800., 1000., 1200., 1400.]), [Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, '')])
#average and std of PH2O*L
PH20L=[]
PH20L.extend([PwatEL40[k]*40 for k in range(len(PwatEL40))])
PH20L.extend([PwatOL40[k]*40 for k in range(len(PwatOL40))])
PH20L.extend([PwatEL30[k]*30 for k in range(len(PwatEL30))])
PH20L.extend([PwatOL30[k]*30 for k in range(len(PwatOL30))])
PH20L.extend([PwatEL20[k]*20 for k in range(len(PwatEL20))])
PH20L.extend([PwatOL20[k]*20 for k in range(len(PwatOL20))])
PH20L.extend([PwatEL14[k]*14 for k in range(len(PwatEL14))])
PH20L.extend([PwatOL14[k]*14 for k in range(len(PwatOL14))])
PH20L.extend([PwatEL8[k]*8 for k in range(len(PwatEL8))])
PH20L.extend([PwatOL8[k]*8 for k in range(len(PwatOL8))])
np.mean(PH20L),np.std(PH20L),len(PH20L)
(532.3793057466155, 147.829314136009, 43)
plt.plot(LDis,[np.mean(PC2EL[k]+PC2OL[k]) for k in range(5)],'ko',markersize=12)
plt.plot([40 for k in range(len(PC2EL40))],PC2EL40,'ro',alpha=0.5)
plt.plot([40 for k in range(len(PC2OL40))],PC2OL40,'bo',alpha=0.5)
plt.plot([30 for k in range(len(PC2EL30))],PC2EL30,'ro',alpha=0.5)
plt.plot([30 for k in range(len(PC2OL30))],PC2OL30,'bo',alpha=0.5)
plt.plot([20 for k in range(len(PC2EL20))],PC2EL20,'ro',alpha=0.5)
plt.plot([20 for k in range(len(PC2OL20))],PC2OL20,'bo',alpha=0.5)
plt.plot([14 for k in range(len(PC2EL14))],PC2EL14,'ro',alpha=0.5)
plt.plot([14 for k in range(len(PC2OL14))],PC2OL14,'bo',alpha=0.5)
plt.plot([8 for k in range(len(PC2EL8))],PC2EL8,'ro',alpha=0.5)
plt.plot([8 for k in range(len(PC2OL8))],PC2OL8,'bo',alpha=0.5)
plt.ylabel('$P_{C_{2}}$',size=20)
plt.xlabel('Distance ($\mu m$)',size=20)
plt.xticks(size=16)
plt.yticks(size=16)
plt.ylim(0,max(PC28)*1.1)
#plt.savefig('PC2.eps',dpi=1000,bbox_inches='tight')
(0.0, 4.261097049194261)
plt.plot(LDis,[np.mean(PC2EL[k]+PC2OL[k])*LDis[k] for k in range(5)],'ko',markersize=12)
plt.plot([40 for k in range(len(PC2EL40))],[PC2EL40[k]*40 for k in range(len(PC2EL40))],'ro',alpha=0.5)
plt.plot([40 for k in range(len(PC2OL40))],[PC2OL40[k]*40 for k in range(len(PC2OL40))],'bo',alpha=0.5)
plt.plot([30 for k in range(len(PC2EL30))],[PC2EL30[k]*30 for k in range(len(PC2EL30))],'ro',alpha=0.5)
plt.plot([30 for k in range(len(PC2OL30))],[PC2OL30[k]*30 for k in range(len(PC2OL30))],'bo',alpha=0.5)
plt.plot([20 for k in range(len(PC2EL20))],[PC2EL20[k]*20 for k in range(len(PC2EL20))],'ro',alpha=0.5)
plt.plot([20 for k in range(len(PC2OL20))],[PC2OL20[k]*20 for k in range(len(PC2OL20))],'bo',alpha=0.5)
plt.plot([14 for k in range(len(PC2EL14))],[PC2EL14[k]*14 for k in range(len(PC2EL14))],'ro',alpha=0.5)
plt.plot([14 for k in range(len(PC2OL14))],[PC2OL14[k]*14 for k in range(len(PC2OL14))],'bo',alpha=0.5)
plt.plot([8 for k in range(len(PC2EL8))],[PC2EL8[k]*8 for k in range(len(PC2EL8))],'ro',alpha=0.5)
plt.plot([8 for k in range(len(PC2OL8))],[PC2OL8[k]*8 for k in range(len(PC2OL8))],'bo',alpha=0.5)
plt.ylabel('$P_{C_{2}} \ L$',size=20)
plt.xlabel('Distance ($\mu m$)',size=20)
plt.xticks(size=16)
plt.yticks(size=16)
#plt.savefig('figures\\PC2L.eps',dpi=1000,bbox_inches='tight')
(array([15., 20., 25., 30., 35., 40., 45.]), [Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, '')])
#average and std of PH2O*L
PC2L=[]
PC2L.extend([PC2EL40[k]*40 for k in range(len(PwatEL40))])
PC2L.extend([PC2OL40[k]*40 for k in range(len(PwatOL40))])
PC2L.extend([PC2EL30[k]*30 for k in range(len(PwatEL30))])
PC2L.extend([PC2OL30[k]*30 for k in range(len(PwatOL30))])
PC2L.extend([PC2EL20[k]*20 for k in range(len(PwatEL20))])
PC2L.extend([PC2OL20[k]*20 for k in range(len(PwatOL20))])
PC2L.extend([PC2EL14[k]*14 for k in range(len(PwatEL14))])
PC2L.extend([PC2OL14[k]*14 for k in range(len(PwatOL14))])
PC2L.extend([PC2EL8[k]*8 for k in range(len(PwatEL8))])
PC2L.extend([PC2OL8[k]*8 for k in range(len(PwatOL8))])
np.mean(PC2L),np.std(PC2L),len(PC2L)
(31.888499449954725, 4.897164579832783, 43)