Hybrid ramified Sierpinski carpet: percolation transition, critical exponents, and force field

被引：5

作者：

Herega, A. N. ^{[1
]}

Drik, N. G. ^{[2
]}

Ugol'nikov, A. P. ^{[3
]}

机构：

[1] Odessa State Acad Construct & Architecture, UA-65029 Odessa, Ukraine

[2] Mechnikov Odessa Natl Univ, UA-65082 Odessa, Ukraine

[3] Odessa State Acad Refrigerat, UA-65082 Odessa, Ukraine

来源：

PHYSICS-USPEKHI | 2012年 / 55卷 / 05期

关键词：

D O I：

10.3367/UFNe.0182.201205f.0555

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This methodological note introduces the concept of and calculates percolation transition characteristics for a Sierpinski carpet with hybrid (finite infinite) ramification. Recurrence formulas for calculating the force fields of Sierpinski prefractals of an arbitrary generation are obtained. The possibility of using the obtained results in the model of oscillatory interacting different-scale inner boundaries of a heterogeneous material is discussed.

引用

页码：519 / 521

页数：3

共 14 条

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[9] CONDUCTIVITY AND NOISE CRITICAL EXPONENTS IN THIN-FILMS NEAR THE METAL-INSULATOR PERCOLATION TRANSITION
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[10] Positive-overlap transition and critical exponents in mean field spin glasses
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