Published September 18, 2025
| Version v1
Dataset
Open
Anomalous diffusion in convergence to effective ergodicity
Authors/Creators
Description
Ergodic Dynamics of Ising Model : Diffusion regimes
(c) 2013, 2014, 2015, 2016, 2025
Süzen
GPL v3
Reproducing the data and analysis for the article:
Anomalous diffusion in convergence to effective ergodicity
M. Suezen
Notebooks
We provide notebooks for data generation and analysis
* `data_generate.ipynb` : Notebook will generate the dynamic trajectories of Ising Models with external field under
different temperatures at N=512,1024 and Metropolis/Glauber dynamics.
Parameters reads
```R
N <- c(512, 1024)
ikBT <- seq(0.5,2.0,0.025)
H <- c(1.0)
#
J <- 1.0
nstep <- 2.0e6
```
* `data_analysis.ipynb` : This will compute the approach the ergodicity
and power-law exponents. Ploting the results. Resulting data.frames are also stored.
Generated Data Outputs
Expected output is `ising_ergo.RData` file.
This contains all the trajectories.
Analysis Outputs
Analysis generates eps, png and csv files.
Plots are for approach to ergodicity and
power-law exponents showing
```txt
glauberN1024.csv
glauberN1024.eps
glauberN1024.png
glauberN512.csv
glauberN512.eps
glauberN512.png
glauber_N1024scaling_exponents.eps
glauber_N1024scaling_exponents.png
glauber_N512scaling_exponents.eps
glauber_N512scaling_exponents.png
metropolisN1024.csv
metropolisN1024.eps
metropolisN1024.png
metropolisN512.csv
metropolisN512.eps
metropolisN512.png
metropolis_N1024scaling_exponents.eps
metropolis_N1024scaling_exponents.png
metropolis_N512scaling_exponents.eps
metropolis_N512scaling_exponents.png
```
## License
This project and all contributions are licensed under :
* All non-code [](https://creativecommons.org/licenses/by/4.0/)
* Code under [](https://www.gnu.org/licenses/gpl-3.0)
Files
data_analysis.ipynb
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Additional details
Related works
- Is supplement to
- arXiv:1606.08693 (arXiv)
Dates
- Submitted
-
2025-09-18
Software
- Repository URL
- https://github.com/msuzen/research
- Programming language
- Python