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RESEARCH PRODUCT

Monte Carlo Simulations of Spin Systems

Wolfhard Janke

subject

PhysicsHybrid Monte CarloQuantum Monte CarloMonte Carlo methodDynamic Monte Carlo methodIsing modelMonte Carlo method in statistical physicsStatistical physicsKinetic Monte CarloMonte Carlo molecular modeling

description

This chapter gives a brief introduction to Monte Carlo simulations of classical O(n) spin systems such as the Ising (n = 1), XY (n = 2), and Heisenberg (n = 3) models. In the first part I discuss some aspects of the use of Monte Carlo algorithms to generate the raw data. Here special emphasis is placed on nonlocal cluster update algorithms which proved to be most efficient for this class of models. The second part is devoted to the data analysis at a continuous phase transition. For the example of the three-dimensional Heisenberg model it is shown how precise estimates of the transition temperature and the critical exponents can be extracted from the raw data. I conclude with a brief overview of recent results from similar high-precision studies of the Ising and XY models.

yearjournalcountryeditionlanguage
1996-01-01
https://doi.org/10.1007/978-3-642-85238-1_3