Published March 8, 2026 | Version v5
Computational notebook Open

Anomalous diffusion in convergence to effective ergodicity

Authors/Creators

Description

v5

Fulldata release

(c) 2013, 2014, 2015, 2016, 2025, 2026
Süzen
GPL v3

Reproducing the data and analysis for the article:

Directories are zipped and larger data placed in the root due to Zenodo's limitation

      Anomalous diffusion in convergence to effective ergodicity
      Physica Scripta
      10.1088/1402-4896/ae483e (2026)
      arXiv: doi: 10.48550/arXiv.1606.08693 (2016-2026)
      GitHub (code only): msuzen/research/ergodicity_anomalous_convergence

 
This is significantly advanced analysis with two different power-laws, one for distribution of  the Gamma (Rate of effective ergodic convergence modified TM-metric) and time-displacement for the Kappa (Inverse of Gamma). 
 
  • Enhanced fitting diagnostics: Extensive automated and visual plots for each case.
  • Clarification of Power-laws.
  • Extensive plotting of temperature-field ranges.
  • KS-statistics comparing Glauber/Metropolis dynamics. 
  • Finite-size scaling analysis. (v4): We now using  a sigmoid-like ansatz. Notebook and plots updated.
 
For its content see the README.md file. 
 
Reproducing Trajectories and Diagnostic plots
 
Datasets that would be generate with notebooks would be around~7GB. Here we provide all data.
  • Trajectory files are ising1Dmagnetisation.rds,  ising1DrateErgodicity.rds, ising1DrateErgodicityFields.rds. The remaining datasets are powerlaw data frames. 
  • Individual diagnostic plots are also not placed due to space consideration. plots/powerLawKappa, plots/powerLawKappaFields/ and plots/magnetisation/. 

License

This project and all contributions are licensed under :
* All non-code License: CC BY 4.0
* Code under License: GPL v3

Files

datasets.zip

Files (8.0 GB)

Name Size
md5:50808fa26e783e65e6781f3f8bb2ffda
34.5 MB Preview Download
md5:505e78d265e950fc0d909565acd55291
5.6 GB Download
md5:467f8078a29b11bb325192ef3a51f30b
1.8 GB Download
md5:3870d917139f55e357d78f9d4e1cdb2c
40.7 kB Preview Download
md5:c6b53548c83f83cba26908e0e8a9528c
558.2 MB Preview Download
md5:2e7b17fe6718488cbdf2f3fe914f33ef
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md5:0da059633381847f137c2e968e5d1188
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md5:7fe5a1168810084d9061dd86101e54d2
2.7 kB Preview Download
md5:1915deaabac3d721fc694a37a76592ad
44.0 kB Preview Download

Additional details

Related works

Is supplement to
Dataset: arXiv:1606.08693 (arXiv)

Software

Repository URL
https://github.com/msuzen/research
Programming language
R , C
Development Status
Active