Description
Monte Carlo for Classical Ising Model.
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. Utility functions for exact solutions are provided. Example use cases are as follows: Measuring effective ergodicity and power-laws in so called functional-diffusion.
README.md
isingLenzMC: Monte Carlo for Classical Ising Model
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.