Modified Mean Field approximation for the Ising Model
High Energy Physics - Lattice
2009-06-09 v1
Abstract
We study a modified mean-field approximation for the Ising Model in arbitrary dimension. Instead of taking a "central" spin, or a small "drop" of fluctuating spins coupled to the effective field of their nearest neighbors as in the Mean-Field or the Bethe-Peierls-Weiss methods, we take an infinite chain of fluctuating spins coupled to the mean field of the rest of the lattice. This results in a significative improvement of the Mean-Field approximation with a small extra effort.
Cite
@article{arxiv.0906.1576,
title = {Modified Mean Field approximation for the Ising Model},
author = {Cayetano Di Bartolo and Lorenzo Leal},
journal= {arXiv preprint arXiv:0906.1576},
year = {2009}
}
Comments
10 pages, 3 figures