数学物理学报 ›› 1999, Vol. 19 ›› Issue (1): 53-61.

• 论文 • 上一篇    下一篇

Potts模型的临界失真和下界估计

  

  1. (上海交通大学应用数学系 |上海 200030)

     

  • 出版日期:1999-02-01 发布日期:1999-02-01

Estimation And Lower Bound Of Critical Distortion For Potts Models

  1. (Department of Applied Mathematics, Jiao Tong University, Shanghai 200030) |

  • Online:1999-02-01 Published:1999-02-01

摘要:

  

 证明了格上q-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+R). 利用级数的矩阵表示可迭代地估算 Rdc.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.

关键词: Potts模型, 临界失真, ε熵.

Abstract:

 

 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 dc is derived.

Key words: Pottsmodel, Criticaldistortion, εentropy

中图分类号: 

  • 60G