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Cluster Monte Carlo algorithm with a conserved order parameter

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Martín Mayor, Víctor and Yllanes, D. (2009) Cluster Monte Carlo algorithm with a conserved order parameter. Physical review E, 80 (1). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.80.015701


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Abstract

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.


Item Type:Article
Additional Information:

© 2009 American Physical Society. We thank L. A. Fernandez for discussions. We were partly supported by MEC Spain through Contract No. FIS2006- 08533. The bulk of our computations were carried out at BIFI.

Uncontrolled Keywords:3-dimensional ising-model; Critical-dynamics; Evaporation/condensation transition; Spinodal decomposition; Equilibrium droplets; Laws.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:45419
Deposited On:22 Nov 2017 10:52
Last Modified:11 Dec 2017 12:07

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