Properties of iterative Monte Carlo single histogram reweighting

Details Properties of iterative Monte Carlo single histogram reweighting Properties of iterative Monte Carlo single histogram reweighting

2004-01-12

arxiv.org/abs/cond-mat/0401178v3

Physics

Condensed Matter

Statistical Mechanics

3 figures

Scientific paper

We present iterative Monte Carlo algorithm for which the temperature variable is attracted by a critical point. The algorithm combines techniques of single histogram reweighting and linear filtering. The 2d Ising model of ferromagnet is studied numerically as an illustration. In that case, the iterations uncovered stationary regime with invariant probability distribution function of temperature which is peaked nearly the pseudocritical temperature of specific heat. The sequence of generated temperatures is analyzed in terms of stochastic autoregressive model. The error of histogram reweighting can be better understood within the suggested model. The presented model yields a simple relation, connecting variance of pseudocritical temperature and parameter of linear filtering.

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