RT Journal Article
T1 Tethered Monte Carlo: computing the effective potential without critical slowing down
A1 Fernández Pérez, Luis Antonio
A1 Martín Mayor, Víctor
A1 Yllanes, D.
AB 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.
PB Elsevier
SN 0550-3213
YR 2009
FD 2009-02-01
LK https://hdl.handle.net/20.500.14352/45067
UL https://hdl.handle.net/20.500.14352/45067
LA eng
NO MEC (Spain)
NO Comunidad de Madrid
DS Docta Complutense
RD 24 abr 2025