Gene!Stanley, the n-vector model and random walks with absorbing boundaries

被引：3

作者：

Batchelor, MT ^{[1
]}

Henry, BI

机构：

[1] Australian Natl Univ, Ctr Math & Applicat, IAS, Dept Theoret Phys, Canberra, ACT 0200, Australia

[2] Univ New S Wales, Sch Math, Dept Appl Math, Sydney, NSW 2052, Australia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2002年 / 314卷 / 1-4期

关键词：

Gene Stanley; n-vector model; spherical model; self-avoiding walks; random walks; triangular lattice; absorbing boundaries;

D O I：

10.1016/S0378-4371(02)01172-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Gene Stanley's early contribution to the n-vector model is briefly reviewed. Also discussed is a problem solved by McCrea and Whipple in 1940; namely random walks with absorbing boundaries. We have found the exact solution of the analogous problem on the triangular lattice with a true finite boundary. This problem was previously considered to be intractable. (C) 2002 Published by Elsevier Science B.V.

引用

页码：77 / 82

页数：6

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