文章基本信息

标题：Order of fluctuations of the free energy in the SK model at critical temperature
本地全文：下载
作者：Wei-Kuo Chen ; Wai-Kit Lam
期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2019
卷号：XVI
期号：1
页码：809-816
DOI：10.30757/ALEA.v16-29
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We present an elementary approach to the order of fluctuations for the free energy in the Sherrington-Kirkpatrick mean field spin glass model at and near the critical temperature. It is proved that at the critical temperature the variance of the free energy is of O((log N) 2 ). In addition, we show that if one approaches the critical temperature from the low temperature regime at the rate O(N −α) for some α > 0, then the variance is of O((log N) 2 + N1−α).
关键词：Spin glass; Sherrington;Kirkpatrick model; Disorder chaos