SIMULATION OF TWO AND THREE DIMENSIONAL RING POLYMERS USING CLOSED GAUSSIAN RANDOM WALKS

Abstract

摘要 在二维系统中，自身不交叉（ｎｏｎ－ｓｅｌｆ ｃｒｏｓｓｉｎｇ）的条件导至排斥的体积效应，所得到的临界指数ｖ，与重整化群理论符合得很好。在三维系统中，无纽结（ｋｎｏｔ）条件应导致新的效应。然而，结的形成几率随链段数的增加而非常缓慢地增加，很难找到可靠的临界指数。本文使这一工作前进了一步。 Abstract In two dimensional systems, the non-self crossing condition leads to an excluded volume effect, and the obtained critical index，is in good agreement with the predictions of the renormalization group theory. In three dimensional systems, the condition of absence of knots should lead to new effects. However, it is observed that the probability of knot formation increases very slowly with the number of segments, and it is difficulty to find a reliable critical index. This paper makes an advancing step on this investigation. 作者及机构信息 彭景翠 1. 湖南大学应用物理系 Authors and contacts PENG JING-CUI 1. 湖南大学应用物理系 参考文献 施引文献