README.md
In isingLenzMC: Monte Carlo for Classical Ising Model

Ergodic Dynamics of Ising Model : functional-diffusion regimes

Reproducing the data and analysis for the article:

Anomalous diffusion in convergence to effective ergodicity M. Suezen arXiv:1606.08693

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

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.

Expected output is ising_ergo.RData file. This contains all the trajectories.

Analysis generates eps, png and csv files. Plots are for approach to ergodicity and power-law exponents showing

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

This project and all contributions are licensed under : All non-code Code under