MATRIX-METHOD FOR RANDOM-WALKS ON LATTICES

被引:1
作者
ZHENG, DF
LIU, YY
WANG, ZD
机构
[1] ACAD SINICA, INT CTR MAT PHYS, SHENYANG 110015, PEOPLES R CHINA
[2] UNIV HONG KONG, DEPT PHYS, HONG KONG, HONG KONG
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 14期
关键词
D O I
10.1088/0305-4470/28/14/006
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By defining a structure factor matrix we propose a generating function matrix method for studying random walks on a class of lattices, such as superlattices or crystals with finite k atoms per cell. As an illustration of this method, the problem of random walks on a one-dimensional dimerization chain is solved exactly.
引用
收藏
页码:L409 / L413
页数:5
相关论文
共 10 条
[1]  
[Anonymous], 1921, MATH ANN, DOI [DOI 10.1007/BF01458701, 10.1007/BF01458701]
[2]  
Barber M., 1970, RANDOM RESTRICTED WA
[3]   BIASED RANDOM-WALK ON NETWORKS [J].
GOLDHIRSCH, I ;
GEFEN, Y .
PHYSICAL REVIEW A, 1987, 35 (03) :1317-1327
[4]   ANALYTIC METHOD FOR CALCULATING PROPERTIES OF RANDOM-WALKS ON NETWORKS [J].
GOLDHIRSCH, I ;
GEFEN, Y .
PHYSICAL REVIEW A, 1986, 33 (04) :2583-2594
[5]   RANDOM WALKS ON LATTICES .2. [J].
MONTROLL, EW ;
WEISS, GH .
JOURNAL OF MATHEMATICAL PHYSICS, 1965, 6 (02) :167-+
[6]  
MONTROLL EW, 1956, SOC IND APPL MATH, V4, P241
[7]  
Montroll EW., 1964, PROC S APPL MATH AM, V16, P193
[8]   COHERENT-MEDIUM APPROXIMATION IN THE STOCHASTIC TRANSPORT-THEORY OF RANDOM-MEDIA [J].
ODAGAKI, T ;
LAX, M .
PHYSICAL REVIEW B, 1981, 24 (09) :5284-5294
[9]   STOCHASTIC TRANSPORT IN A DISORDERED SOLID .1. THEORY [J].
SCHER, H ;
LAX, M .
PHYSICAL REVIEW B, 1973, 7 (10) :4491-4502
[10]  
WEISS GH, 1983, ADV CHEM PHYS, V52, P363