A cluster Monte Carlo algorithm with a conserved order parameter

Details A cluster Monte Carlo algorithm with a conserved order parameter A cluster Monte Carlo algorithm with a conserved order parameter

2009-03-11

arxiv.org/abs/0903.2022v2

Phys.Rev.E80:015701(R),2009

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 color figures. Minor improvements and update of table 3

Scientific paper

10.1103/PhysRevE.80.015701

We propose a cluster simulation algorithm for statistical ensembles with fixed order parameter. We use the tethered ensemble, which features Helmholtz's effective potential rather than Gibbs's free energy, and in which canonical averages are recovered with arbitrary accuracy. For the D = 2,3 Ising model our method's critical slowing down is comparable to that of canonical cluster algorithms. Yet, we can do more than merely reproduce canonical values. As an example, we obtain a competitive value for the 3D Ising anomalous dimension from the maxima of the effective potential.

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