Loading...

Monte Carlo simulations of the Ising model

Academic Paper 2010 102 Pages

Chemistry - Physical and Theoretical Chemistry

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

Author

Previous

Title: Monte Carlo simulations of the Ising model