POTTS模型的临界失真和下界估计

Estimation And Lower Bound Of Critical Distortion For Potts Models

证明了格上q一元Potts模型的临界失真dc和该模型Mayer级数的收敛半径R有以下关系：dc=（q－1）R／（1十R）．利用级数的矩阵表示可迭代地估算R和dc．对那些Mayer级数尚未知的模型，给出了dc下界的一个统一表示．

This paper is a continuation of our previous works[1,2, 3]. The critical distortion dc of q-ary Potts models is shown to be related to the radius of convergence R of the Mayer's series by dc = (q - 1)R/(1 + R). For those models, which the Mayer's series are not available, a unified lower bound of d. is derived.