物理化学学报 >> 1999, Vol. 15 >> Issue (09): 819-823.doi: 10.3866/PKU.WHXB19990909

研究论文 上一篇    下一篇

三维格点中SAT链的Monte Carlo模拟

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:1999-05-31 发布日期:1999-09-15
  • 通讯作者: 丁恩勇

Monte Carlo Simulation of SAT in Three Dimensional 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:1999-05-31 Published:1999-09-15
  • Contact: Ding En-Yong

摘要:

用Monte Carlo方法模拟了三维简立方格点和面心立方格点上的线性高分子模型自踪迹规避(Self-Avoiding Trail, SAT ) . 求解了SAT的各种临界指数 .所得的结果显示 ,SAT的各种临界指数介于无规行走 (RW )和自避行走 (SAW )之间 .这完全是因为体排斥作用对SAT模型的限制比对SAW的限制要少一些 ,但又比对RW的限制要大一些 .SAT的各种性质介于SAW和RW之间 .因此 ,有可能SAT与SAW不属于同一个普适类.

关键词: 自踪迹规避(STA), 临界指数, 简立方格点, 面心立方格点, 配分函数, 普适类

Abstract:

In this article, the critical exponents of the polymer model Self Avoiding Trail (SAT) in three dimensional simple cubic lattice and face centered cubic lattice have been studied using Monte Carlo simulation method. The results obtained show that the critical exponents of SAT or its behaviors are intermediate between those of SAW and RW, so it is impossible for SAT to belong to the same universal class with SAW.

Key words: Self-Avoiding Trail(SAT), Critical exponent, Simple cubic lattice, Face-centered cubic lattice, Partition function, Universal class