Published October 13, 2024
| Version 2.0
Software
Open
1d High Temperature Quarkonium Lindblad Dynamics CN & RN-SBP Solver
Description
//*********************************************************************************
//
// THIS PROGRAM IMPLEMENTS A 1D VERSION OF THE MASTER EQUATION FOR HEAVY
// QUARKONIUM DERIVED BY Y. AKAMATSU IN
//
// ``Heavy quark master equations in the Lindblad form at high temperatures,''
// Phys. Rev. D 91, no. 5, 056002 (2015)
// doi:10.1103/PhysRevD.91.056002
// [arXiv:1403.5783 [hep-ph]].
//
// ON THE LEVEL OF THE DENSITY MATRIX AND INCLUDES FULL DISSIPATIVE EFFECTS
// THE SAME EQUATION OF MOTION HAS BEEN APPROXIMATELY UNRAVELLED VIA QUANTUM
// STATE DIFFUSION IN
//
// T. Miura, Y. Akamatsu, M. Asakawa and A. Rothkopf,
// ``Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma,''
// Phys. Rev. D 101, no.3, 034011 (2020)
// doi:10.1103/PhysRevD.101.034011
// [arXiv:1908.06293 [nucl-th]].
//
// This code deploys a novel discrete finite difference operator, specifically
// designed to guarantee the trace conservation of the Lindblad dynamics
// called a reparametrization neutral summation-by-parts operator. Its derivation
// is outlined in the publication
//
// O.Ålund, Y. Akamatsu, F. Laurén, T. Miura, J. Nordström and A. Rothkopf
// ``Trace preserving quantum dynamics using a novel reparametrization-neutral
// summation-by-parts difference operator.''
// doi:10.1016/j.jcp.2020.109917
// [arXiv:2004.04406 [physics.comp-ph]]
//
// >> v1 -- DATE: April 4th 2020
// authored by Dr. Alexander Karl Rothkopf
// >> updated v2 -- DATE: October 13th 2024
// bug fixes & adaptation for PETSC v3.22 by Victor Lopez Pardo
//
//*********************************************************************************
//*********************************************************************************
//
// Copyright (C) 2024 Dr. Alexander Rothkopf, Victor Lopez Pardo
//
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 3 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License along
// with this program; if not, write to the Free Software Foundation, Inc.,
// 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
//
// A copy of the GNU General Public License is also available at
// http://www.fsf.org/licensing/licenses
//
//*********************************************************************************
Notes
The author of the code gladly acknowledges support by the Research Council of Norway under the FRIPRO Young Research Talent grant 286883. Developing and testing this code has utilized computing resources provided by UNINETT Sigma2 - the National Infrastructure for High Performance Computing and Data Storage in Norway under project NN9578K-QCDrtX "Real-time dynamics of nuclear matter under extreme conditions"
Files
UpdatedCodeRNSBP.zip
Files
(94.9 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:a66cbc55eae393a1d8bac7240624dbb4
|
94.9 kB | Preview Download |