Scaling Limits for Multi-species Statistical Mechanics Mean-Field Models

被引：26
作者：
Fedele, Micaela [1 ]
Contucci, Pierluigi [1 ]
机构：
[1] Univ Bologna, Dipartmento Matemat, I-40127 Bologna, Italy
来源：
JOURNAL OF STATISTICAL PHYSICS | 2011年 / 144卷 / 06期
关键词：
Mean-field models; Central limit theorems; THEOREMS; SUMS;
D O I：
10.1007/s10955-011-0334-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页码：1186 / 1205
页数：20
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