Self-avoiding walks and polymer adsorption: edge and vertex weighting

被引：2

作者：

Rychlewski, G. ^{[1
]}

Whittington, S. G. ^{[1
]}

机构：

[1] Univ Toronto, Dept Chem, Toronto, ON M5S 1A1, Canada

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

CRITICAL EXPONENTS; ADSORBING SURFACE; EXACT ENUMERATION; CHAIN POLYMERS; MONTE-CARLO; DIMENSIONS; TRANSITION; LATTICE; PHASE;

D O I：

10.1088/1751-8113/44/9/095006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Self-avoiding walks interacting with a surface are a useful model of polymer adsorption and one can choose to weight the walk according to the number of vertices or the number of edges in the surface. We consider a combined model of self-avoiding walks on the d-dimensional hypercubic lattice with weights associated with the numbers of vertices and edges in the surface and investigate its phase diagram. We also derive inequalities relating the critical points in the edge and vertex weighting schemes.

引用

页数：7

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