物理化学学报 >> 1999, Vol. 15 >> Issue (09): 769 -774 .doi: 10.3866/PKU.WHXB19990901

研究论文    下一篇

二维正方形格点上自踪迹规避链的临界指数

丁恩勇, 黄畇, 赵得禄   

  1. 中国科学院广州化学研究所纤维素化学开放研究实验室,广州 510650|北京大学物理系,北京 100871|中国科学院化学研究所,北京 100080
  • 收稿日期:1998-10-26 修回日期:1998-12-21 发布日期:1999-09-15
  • 通讯作者: 丁恩勇

Critical Exponents of SAT in Two Dimensional Square Lattice

Ding En-Yong, Huang Yun, Zhao De-Lu   

  1. Laboratory of Cellulose and Lignocellulosics Chemistry,Guangzhou Institute of Chemistry,Chinese Academy of Science,Guangzhou 510650|Department of Physics,Peking University,Beijing 100871|Institute of Chemistry,Chinese Academy of Science,Beijing 100080
  • Received:1998-10-26 Revised:1998-12-21 Published:1999-09-15
  • Contact: Ding En-Yong

摘要:

用实空间中的重整化群理论 ,对二维正方形格点上的高分子模型自踪迹规避链进行了求解. 求得自踪迹规避链的相关长度指数νSAT为 0.759, 格点的等效配位数 μSAT为 2.96 8

关键词: 实空间重整化群, 二维正方形格点, 自踪迹规避链, 临界指数

Abstract:

In this article, the critical exponents of the polymer model SAT in two dimensional square lattice have been studied with the real space renormalization theory. The results obtained are as follows: the correlation length exponent ν SAT is 0.759, and the equivalent coordination number exponent μ SAT is 2.968.

Key words: Real space renormalization group theory, Two dimensional square lattice, Self-avoiding trail(SAT), Critical exponent