A critical exponent for shortest-path scaling in continuum percolation

被引：3

作者：

Brereton, Tim ^{[1
]}

Hirsch, Christian ^{[1
]}

Schmidt, Volker ^{[1
]}

Kroese, Dirk ^{[2
]}

机构：

[1] Univ Ulm, Inst Stochast, D-89069 Ulm, Germany

[2] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2014年 / 47卷 / 50期

基金：

澳大利亚研究理事会;

关键词：

percolation; chemical distance; Monte Carlo; splitting; power law; continuum percolation; POWER-LAW DISTRIBUTIONS; PRECISE DETERMINATION; PAIR CONNECTEDNESS; CLUSTER-SIZE; THRESHOLD;

D O I：

10.1088/1751-8113/47/50/505003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We carry out Monte Carlo experiments to study the scaling behavior of shortest path lengths in continuum percolation. These studies suggest that the critical exponent governing this scaling is the same for both continuum and lattice percolation. We use splitting, a technique that has not yet been fully exploited in the physics literature, to increase the speed of our simulations. This technique can also be applied to other models where clusters are grown sequentially.

引用

页数：12

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