CURRENT DISTRIBUTION ON A 3-DIMENSIONAL, BOND-DILUTED, RANDOM-RESISTOR NETWORK AT THE PERCOLATION-THRESHOLD

被引：14

作者：

DUERING, E

BERGMAN, DJ

机构：

[1] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH PHYS & ASTRON,IL-69978 TEL AVIV,ISRAEL

[2] WEIZMANN INST SCI,DEPT CHEM PHYS,IL-76100 REHOVOT,ISRAEL

来源：

JOURNAL OF STATISTICAL PHYSICS | 1990年 / 60卷 / 3-4期

关键词：

distribution; multifractals; Percolation; transport processes;

D O I：

10.1007/BF01314926

中图分类号：

O4 [物理学];

学科分类号：

0702 [物理学];

摘要：

Current and logarithm-current distributions on a three-dimensional random-bond percolation cubic network were studied at the percolation threshold by computer simulations. Predictions of a hierarchical model that combine fractal structure and randomness agree with our numerical simulations. In the thermodynamic limit the logarithm-current distribution exhibits an n(ln(i))∼i1/3 dependence below some characteristic current ic. This distribution may scale with ln i/ln L, but the data are insufficient to make this a definite conclusion. Due to the small range of ln L considered, a study of the moments does not reveal this behavior and a study of the distribution itself is required. © 1990 Plenum Publishing Corporation.

引用

页码：363 / 381

页数：19

共 23 条

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ADLER JO, COMMUNICATION

[2]

COMPUTER STUDY OF THE ELECTRICAL NOISE IN HIGH-DIMENSIONAL PERCOLATING SYSTEMS [J].