Spectral properties and lattice-size dependences in cluster algorithms

Abstract

Simulation results of Ising systems for several update rules, observables, and dimensions are analyzed. The lattice-size dependence is discussed for the autocorrelation times and for the weights of eigenvalues, giving fit results in the case of power laws. Implications of spectral properties are pointed out and the behavior of a particular observable not governed by detailed balance is explained.

Comments: 15 pages (latex), 7 figures (not included)