README.md

In isingLenzMC: Monte Carlo for Classical Ising Model

isingLenzMC: Monte Carlo for Classical Ising Model

• Stable release on CRAN
• Development repository

Description

Classical Ising Model is a land mark system in statistical physics. The model explains the physics of spin glasses and magnetic materials, and cooperative phenomenon in general, for example phase transitions and neural networks. This package provides utilities to simulate one dimensional Ising Model with Metropolis and Glauber Monte Carlo with single flip dynamics in periodic boundary conditions. Utility functions for exact solutions are provided. Such as transfer matrix for 1D. Example use cases are as follows: Measuring effective ergodicity and power-laws in so called functional-diffusion.

Example use cases

These examples are scientific use cases of the package, some corresponds to papers.

• Measuring effective ergodicity on differring temperature ranges
• Ergodic Dynamics of Ising Model : functional-diffusion regimes

Related Publications and Datasets

• Effective ergodicity in single-spin-flip dynamics Mehmet Suezen, Phys. Rev. E 90, 032141 Dataset
• Anomalous diffusion in convergence to effective ergodicity, Suezen, Mehmet, arXiv:1606.08693 Dataset

isingLenzMC documentation built on Nov. 5, 2025, 7:37 p.m.