Configuration Space for Random Walk Dynamics
统计力学
2009-10-31 v2 高能物理 - 格点
计算物理
摘要
Applied to statistical physics models, the random cost algorithm enforces a Random Walk (RW) in energy (or possibly other thermodynamic quantities). The dynamics of this procedure is distinct from fixed weight updates. The probability for a configuration to be sampled depends on a number of unusual quantities, which are explained in this paper. This has been overlooked in recent literature, where the method is advertised for the calculation of canonical expectation values. We illustrate these points for the Ising model. In addition, we proof a previously conjectured equation which relates microcanonical expectation values to the spectral density.
引用
@article{arxiv.cond-mat/9805165,
title = {Configuration Space for Random Walk Dynamics},
author = {Bernd A. Berg and Ulrich H. E. Hansmann},
journal= {arXiv preprint arXiv:cond-mat/9805165},
year = {2009}
}
备注
Various minor changes, appendix added, Fig. 2 dropped