کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1842169 | 1031413 | 2009 | 31 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Tethered Monte Carlo: Computing the effective potential without critical slowing down Tethered Monte Carlo: Computing the effective potential without critical slowing down](/preview/png/1842169.png)
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=1024L=1024.
Journal: Nuclear Physics B - Volume 807, Issue 3, 1 February 2009, Pages 424–454