MARKOVIAN NATURE OF THE 2-DIMENSIONAL SELF-AVOIDING RANDOM-WALK PROBLEM

被引：4

作者：

WIEGEL, FW ^{[1
]}

机构：

[1] ECOLE POLYTECH FED LAUSANNE,PHYS THEOR LAB,CH-1007 LAUSANNE,SWITZERLAND

来源：

PHYSICA A | 1979年 / 98卷 / 1-2期

关键词：

D O I：

10.1016/0378-4371(79)90185-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the number of self-avoiding random walks in the plane can be deduced - in the limit of very long walks - from an integral equation for a function of three variables. This demonstrates the Markovian nature of this problem in two dimensions. © 1979.

引用

页码：345 / 351

页数：7

共 4 条

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LIFSHITZ, IM ;

GROSBERG, AY ;

KHOKHLOV, AR .

REVIEWS OF MODERN PHYSICS, 1978, 50 (03) :683-713

[2]

McKenzie D. S., 1976, Physics Reports. Physics Letters Section C, V27c, P35, DOI 10.1016/0370-1573(76)90028-4

[3]

WIEGEL FW, 1977, J CHEM PHYS, V67, P469, DOI 10.1063/1.434891

[4] COMBINATORIAL SOLUTION OF FREE FERMION MODEL [J].

WIEGEL, FW .

CANADIAN JOURNAL OF PHYSICS, 1975, 53 (12) :1148-1153

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