3-LOOP CALCULATION OF THE ANOMALOUS DIMENSION OF DIFFUSIVITY FOR A MODEL OF A RANDOM-WALK IN A POTENTIAL RANDOM FIELD WITH LONG-RANGE CORRELATIONS

被引：9

作者：

DERKACHOV, SE ^{[1
]}

HONKONEN, J ^{[1
]}

PISMAK, YM ^{[1
]}

机构：

[1] UNIV HELSINKI, THEORET PHYS RES INST, SF-00170 HELSINKI 17, FINLAND

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 15期

关键词：

D O I：

10.1088/0305-4470/23/15/008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The three-loop contribution to the anomalous dimension of the diffusion coefficient of the model of a random walk in a potential random field with long-range correlations is calculated. Contrary to earlier conjectures, the result is not zero for logarithmic growth of the correlations, but vanishes only in one and two dimensions, in which the one-loop contribution yields the exact value of the anomalous dimension.

引用

页码：L735 / L740

页数：6

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