自排斥星形聚合物的半径

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2025-05-06 DOI:10.1007/s10955-025-03444-7

Carl Mueller, Eyal Neuman

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引用次数: 0

摘要

研究了弱自回避星形聚合物在一维、二维和三维中的有效半径。我们的模型包括N个到时间T的布朗运动，从原点开始，并根据它们彼此接近或接近自己的时间量受到指数惩罚。有效半径测量的是到原点的典型距离。我们的主要结果给出了有效半径的估计，其中在二维和三维我们施加限制\(T \le N\)。我们的结果的亮点之一是，在二维中，我们发现半径与\(T^{3/4}\)成正比，直至对数修正。

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The Radius of a Self-repelling Star Polymer

We study the effective radius of weakly self-avoiding star polymers in one, two, and three dimensions. Our model includes N Brownian motions up to time T, started at the origin and subject to exponential penalization based on the amount of time they spend close to each other, or close to themselves. The effective radius measures the typical distance from the origin. Our main result gives estimates for the effective radius where in two and three dimensions we impose the restriction that \(T \le N\). One of the highlights of our results is that in two dimensions, we find that the radius is proportional to \(T^{3/4}\), up to logarithmic corrections.

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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.