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
收藏
页码：77 / 82
页数：6
相关论文
共 50 条
  • [31] A n-vector model for charge transport in molecular semiconductors
    Jackson, Nicholas E.
    Kohlstedt, Kevin L.
    Chen, Lin X.
    Ratner, Mark A.
    JOURNAL OF CHEMICAL PHYSICS, 2016, 145 (20):
  • [32] QUENCHED N-VECTOR P-SPIN MODEL
    TAUCHER, T
    FRANKEL, NE
    JOURNAL OF STATISTICAL PHYSICS, 1993, 71 (3-4) : 379 - 413
  • [33] UNIVERSALITY AND CROSSOVER IN AN EXTREMELY ANISOTROPIC N-VECTOR MODEL
    AHARONY, A
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1974, 7 (04): : L63 - L67
  • [34] Interface dynamics in a uniaxial anisotropic n-vector model
    Tutu, H
    PHYSICAL REVIEW E, 1998, 57 (03) : 2675 - 2680
  • [35] THE N-] INFINITY LIMIT OF THE N-VECTOR MODEL WITH LARGE DEFECTS
    BARIEV, RZ
    ILALDINOV, IZ
    THEORETICAL AND MATHEMATICAL PHYSICS, 1991, 86 (03) : 309 - 317
  • [36] Field theoretical calculation of the specific heat exponent for a classical N-vector model in a random external field
    K. Ghosh
    A. Dutta
    J.K. Bhattacharjee
    The European Physical Journal B - Condensed Matter and Complex Systems, 1998, 4 : 219 - 221
  • [37] Field theoretical calculation of the specific heat exponent for a classical N-vector model in a random external field
    Ghosh, K
    Dutta, A
    Bhattacharjee, JK
    EUROPEAN PHYSICAL JOURNAL B, 1998, 4 (02): : 219 - 221
  • [38] FEW LAYERED N-VECTOR MODEL IN LIMIT N-]INFINITY
    HIKAMI, S
    ABE, R
    PROGRESS OF THEORETICAL PHYSICS, 1976, 55 (05): : 1412 - 1418
  • [39] EXTREMELY ANISOTROPIC N-VECTOR MODEL IN LIMIT OF INFINITE-N
    PEARCE, PA
    THOMPSON, CJ
    PROGRESS OF THEORETICAL PHYSICS, 1976, 55 (03): : 665 - 671
  • [40] Phase transitions in the classical n-vector model on the fcc lattice
    de Sousa, J. Ricardo
    Plascak, J. A.
    PHYSICAL REVIEW B, 2008, 77 (02)
12345