Scaling Limits for Multispecies Statistical Mechanics Mean-Field Models
Mathematical Physics
2015-05-20 v2 math.MP
Abstract
We study the limiting thermodynamic behavior of the normalized sums of spins in multi-species Curie-Weiss models. We find sufficient conditions for the limiting random vector to be Gaussian (or to have an exponential distribution of higher order) and compute the covariance matrix in terms of model parameters.
Cite
@article{arxiv.1011.3216,
title = {Scaling Limits for Multispecies Statistical Mechanics Mean-Field Models},
author = {Micaela Fedele and Pierluigi Contucci},
journal= {arXiv preprint arXiv:1011.3216},
year = {2015}
}
Comments
21 pages