Configuration Space for Random Walk Dynamics

Details Configuration Space for Random Walk Dynamics Configuration Space for Random Walk Dynamics

1998-05-13

arxiv.org/abs/cond-mat/9805165v2

Physics

Condensed Matter

Statistical Mechanics

Various minor changes, appendix added, Fig. 2 dropped

Scientific paper

10.1007/s100510050566

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 $2d$ Ising model. In addition, we proof a previously conjectured equation which relates microcanonical expectation values to the spectral density.

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