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Monte Carlo simulations of the Ising model
Michael Adler
出版
Anchor Academic Publishing
, 2016-04-05
主題
Science / Chemistry / Physical & Theoretical
ISBN
3954894661
9783954894666
URL
http://books.google.com.hk/books?id=YkHlCwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.