(c) 2013, 2014, 2015, 2016, 2025
Süzen
GPL v3
We provide entire datasets, plots and table with reporducible notebooks to regenerate them, for the working paper. Extensive automated and visual diagnostics are provided.
Anomalous diffusion in convergence to effective ergodicity
Physica Scripta
doi: 10.1088/1402-4896/ae483e (2026)
arXiv: arXiv. doi: 10.48550/arXiv.1606.08693 (2016-2026)
Dataset: Zenodo doi: 10.5281/zenodo.18223717
GitHub: msuzen/research/ergodicity_anomalous_convergence
R Jupyter noetbooks are provided. Some helper methods are used src/power_utilities.R.
gamma_temperature_generate.ipynb : Generate TM-metric's Gamma over different sizes and temperature range.
gamma_field_generate.ipynb: Generate TM-metric's Gamma over different sizes and field range
magnetisation_autocorrelation_generate.ipynb: Generation of average magnetisation autocorrelations data.
magnetisation_autocorrelation_analysis.ipynb: Magnetisation autocorrelation compute, over temperatures.
gamma_powerlaw_generate.ipynb: Compute power-laws for Gamma (see manuscript), over temperatures.
kappa_powerlaw_generate.ipynb: Compute power-laws for Kappa (see manuscript), over temperatures.
gamma_powerlaw_generate_fields.ipynb: Compute power-laws for Gamma (see manuscript) over different field.
analysis_finite_size_scaling.ipynb: Basic finite-size scaling analysis.
dynamics_stat_test.ipynb: KS test to see the difference between Glauber-Metropolis dynamics
gamma_powerlaw_analysis_fields.ipynb: Gamma powerlaw temperature, analysis.
diffusion_coeffients_kappa.ipynb: Kappa, generalized diffusion coefficients.
kappa_powerlaw_fields_analysis.ipynb: Kappa powerlaw over different fields.
kappa_powerlaw_fields_single_plots.ipynb: Single cases plots over fields, individual curves.
kappa_powerlaw_single_plots.ipynb: Single cases plots over temperatures, individual curves.
gamma_powerlaw_analysis.ipynb: Plot view of powerlaws.
kappa_powerlaws_analysis.ipynb: Plot view of powerlaws.
We store datasets as R dataset format, RDS. All are output of notebooks presented above.
ising1Dmagnetisation.rds: Magnetisation autocorrelations over temperature and sizes. A list object.
ising1DrateErgodicity.rds: Kappa values over temperature and sizes. A list object.
ising1DrateErgodicityFields.rds: Kappa values over fields and sizes. A list object.
ising1DrateErgodicityPowerlawsDistribution.rds: Powerlaws of Gamma distributions over temperatures. A list object.
ising1DrateErgodicityPowerlawsDistributionFields.rds: Powerlaws of Gamma distributions over fields. A data frame.
ising1DrateErgodicityPowerlawsTime.rds: Powerlaws of Kappa vs. time over temperatures. A data frame.
ising1DrateErgodicityPowerlawsTimeFields.rds: Powerlaws of Kappa vs. time over temperatures. A data frame.
Extensive plotting is provided for both presentation and visual debugging.
finiteSizeScaling: Basic finite size scalling.
magnetisation: Magnetisation autocorrelation plots for indivudial cases.
magnetisationOverTemp: Magnetisation autocorrelation plots over temperatures.
powerLawGammaDist: Distributive power laws for Gamma for individual cases.
powerLawKappa: Time power laws for Kappa for indivisual case over temperatures.
powerLawKappaFields: Time power laws for Kappa for indivisual case over fields.
temperaturesPowerlaws: Time power laws for Kappa over temperatures.
fieldsPowerlaws: Time power laws for Kappa over fields.
Details of power-law fits and diagnostics.
kappa_powerlaw_time.latex: Power laws for kappa over temperatures.
kappa_powerlaw_time_fields.latex: Power laws for kappa over fields.
gamma_powerlaw_dist.latex: Power laws for gamma distribution over temperatures.
gamma_powerlaw_dist_fields.latex:Power laws for gamma distribution over fields.
metropolis_glauber_ks_tests.latex: KS-test for checking Glauber-Metropolis.
This project and all contributions are licensed under :
- All non-code
- Code under
