Study of a long range perturbation of a one-dimensional Kac model
Mathematical Physics
2015-05-19 v2 math.MP
Abstract
We consider a one dimensional ferromagnetic Ising spin system with interactions that correspond to a long range perturbation of the usual Kac model. We apply a coarse graining procedure, widely used for higher-dimensional finite range Kac potentials, to describe the basic properties of the system and the relation with the mean field theory.
Keywords
Cite
@article{arxiv.1007.1101,
title = {Study of a long range perturbation of a one-dimensional Kac model},
author = {Marzio Cassandro and Immacolata Merola and Maria Eulalia Vares},
journal= {arXiv preprint arXiv:1007.1101},
year = {2015}
}