Anomalous diffusion in convergence to effective ergodicity

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 arXiv:1606.08693 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)