有限分枝分形上的自迴避迹行走  

SELF-AVOIDING TRAILS ON FINITELY RAMIFIED FRACTALS

作　　者：郑大昉 林志方[1] 陶瑞宝[1] 

机构地区：[1]复旦大学物理系

出　　处：《物理学报》1989年第7期1140-1145,共6页Acta Physica Sinica

基　　金：国家自然科学基金;国家教育委员会博士点基金

摘　　要：本文考虑在Sierpinski gasket及分支Koch曲线上的自迴避迹行走,运用实空间重整化群技术求出了相应的关联长度临界指数v。结果表明,在Sierpinski gasket上,自迴避迹行走与自迴避行走属同一普适类;而在较高分枝度(R_(max)>3)的Koch曲线上,两者属不同普适类。Using an exact real-space renormalization-group technique, we show that self-avoiding trails (SAT) and self-avoiding walks (SAW) on the Sierpinski gasket enjoy the same critical exponent V for the 'correlation length' and therefore belong to the same universcllily class. On the other hand, it is shown that SAT on branching Koch curves with maximum ramification number R_(max)>3 belongs to another universality class different from that of SAW.

关 键 词：分枝分形 自回避迹行走 聚合物链 

分 类 号：O631.12[理学—高分子化学]