# Monte Carlo simulations of the Ising model

Academic Paper 2010 102 Pages

## Summary

In this book, the thermodynamic observables of the classical one- and two-dimensional ferromagnetic and antiferromagnetic Ising models on a square lattice are simulated, especially at the phase transitions (if applicable) using the classical Monte Carlo algorithm of Metropolis. Finite size effects and the influence of an external magnetic field are described. The critical temperature of the 2d ferromagnetic Ising model is obtained using finite size scaling. Before presenting the Ising model, the basic concepts of statistical mechanics are recapped. Furthermore, the general principles of Monte Carlo methods are explained.

## Details

- Pages
- 102
- Type of Edition
- Erstausgabe
- Year
- 2010
- ISBN (eBook)
- 9783954894666
- ISBN (Book)
- 9783954898794
- File size
- 1.7 MB
- Language
- English
- Catalog Number
- v320337
- Institution / College
- University of Frankfurt (Main) – Institut für theoretische Physik
- Grade
- 1,3
- Tags
- Monte Carlo method Monte Carlo integration Monte Carlo experiment computational algorithm ferromagnetic statistical mechanics Markov Chain Metropolis algorithm Computational physics