%0 Book
%A Michael  Adler
%D 2016
%C Hamburg, Germany
%I Anchor Academic Publishing
%@ 9783954894666
%T Monte Carlo simulations of the Ising model
%U https://m.anchor-publishing.com/document/320337
%X 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.
%K Monte Carlo method, Monte Carlo integration, Monte Carlo experiment, computational algorithm, ferromagnetic, statistical mechanics, Markov Chain, Metropolis algorithm, Computational physics
%G English