Tethered Monte Carlo: computing the effective potential without critical slowing down



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Fernández Pérez, Luis Antonio and Martín Mayor, Víctor and Yllanes, D. (2009) Tethered Monte Carlo: computing the effective potential without critical slowing down. Nuclear physics B, 807 (3). pp. 424-454. ISSN 0550-3213

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Official URL: http://doi.org/10.1016/j.nuclphysb.2009.04.022


We present Tethered Monte Carlo, a simple, general purpose method of computing the effective potential of the order parameter (Helmholtz free energy). This formalism is based on a new statistical ensemble, closely related to the micromagnetic one, but with an extended configuration space (through Creutz-like demons). Canonical averages for arbitrary values of the external magnetic field are computed without additional simulations. The method is put to work in the two-dimensional Ising model, where the existence of exact results enables us to perform high precision checks. A rather peculiar feature of our implementation, which employs a local Metropolis algorithm, is the total absence, within errors, of critical slowing down for magnetic observables. Indeed, high accuracy results are presented for lattices as large as L = 1024.

Item Type:Article
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© 2008 Elsevier B.V. We were partially supported by MEC (Spain) through contract No. FIS-2006-08533-C03-01 and by CAM (Spain) through contract No. CCG07-UCM/ESP-2532.

Uncontrolled Keywords:Monte Carlo; Critical phenomena; Phase transitions; Ising model.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:37890
Deposited On:30 May 2016 12:15
Last Modified:30 May 2016 14:20

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