Analyticity properties and a convergent expansion for the inverse correlation length of the low-temperatured-dimensional Ising model期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Analyticity properties and a convergent expansion for the inverse correlation length of the low-temperatured-dimensional Ising model

Authors:	Michael O'Carroll Wilson Dantas Barbosa

Institution:	(1) Departamento de Física-ICEx, Universidade Federal de Minas Gerais, 30.000, Belo Horizonte, C.P. 702 MG, Brazil;(2) Departamento de Matemática-ICEx, Universidade Federal de Minas Gerais, 30.000, Belo Horizonte, C.P. 702 MG, Brazil

Abstract:	We show that the inverse correlation lengthm(z) of the truncated spin-spin correlation function of theZ ^d Ising model with + or — boundary conditions admits the representationm(z) = –(4d–4)ln z(1–_d1) + r(z) for smallz=e ^–, i.e., large inverse temperatures $\beta > 0.r(z) = \Sigma _{n = 1}^\infty b_{n^{Z^n } }$ is ad-dependent analytic function atz = 0, already known in closed form ford = 1 and 2; ford = 3 b_n can be computed explicitly from a finite number of the Z^d limits of z = 0 Taylor series coefficients of the finite lattice correlation function at a finite number of points ofZ ^d.

Keywords:	Ising model correlation length correlation length expansion low-temperature Ising model correlation function
本文献已被 SpringerLink 等数据库收录！