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

Fernandez, L.A. ; Martin-Mayor, V. ; Yllanes, D.

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.nuclphysb.2008.07.009

Año: 2009

Publicado en: NUCLEAR PHYSICS B 807, 3 (2009), 424-454
ISSN: 0550-3213

Factor impacto JCR: 4.341 (2009)

Categ. JCR: PHYSICS, PARTICLES & FIELDS rank: 6 / 27 = 0.222 (2009) - Q1 - T1

Tipo y forma: Artículo (PrePrint)