Determining the density of states for classical statistical models by a flat-histogram random walk

被引:56
作者
Landau, DP [1 ]
Wang, F [1 ]
机构
[1] Univ Georgia, Ctr Simulat Phys, Athens, GA 30602 USA
关键词
density of states; canonical distribution; Ising model; spin glass model;
D O I
10.1016/S0010-4655(02)00374-0
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We describe an efficient and general Monte Carlo algorithm using a flat-histogram random walk to obtain a very accurate estimate of the density of states for classical statistical models. Using this method, we not only can avoid repeating simulations at multiple temperatures but can also estimate the free energy and entropy, quantities which are not directly accessible by conventional Monte Carlo simulations. We apply our algorithm to a spin system to show its accuracy. Since all possible points in the random walk space are visited with the same probability, this algorithm is especially useful for complex systems with rough landscapes such as spin glass models. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:674 / 677
页数:4
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