Explosive Growth in Biased Dynamic Percolation on Two-Dimensional Regular Lattice Networks

被引：163

作者：

Ziff, Robert M. ^{[1
,2
]}

机构：

[1] Univ Michigan, Ctr Study Complex Syst, Ann Arbor, MI 48109 USA

[2] Univ Michigan, Dept Chem Engn, Ann Arbor, MI 48109 USA

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 04期

基金：

美国国家科学基金会;

关键词：

15;

D O I：

10.1103/PhysRevLett.103.045701

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The growth of two-dimensional lattice bond percolation clusters through a cooperative Achlioptas type of process, where the choice of which bond to occupy next depends upon the masses of the clusters it connects, is shown to go through an explosive, first-order kinetic phase transition with a sharp jump in the mass of the largest cluster as the number of bonds is increased. The critical behavior of this growth model is shown to be of a different universality class than standard percolation.

引用

页数：4

共 15 条

[11] SAHIMI M, 1994, APPL PERCOLATION THE
[12] Stauffer D., 1991, Introduction to Percolation Theory
[13] RELATIONS BETWEEN PERCOLATION AND COLOURING PROBLEM AND OTHER GRAPH-THEORETICAL PROBLEMS ASSOCIATED WITH REGULAR PLANAR LATTICES - SOME EXACT RESULTS FOR PERCOLATION PROBLEM
TEMPERLEY, HN
LIEB, EH
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1971, 322 (1549) : 251 - +
[14] ZIFF RM, 1980, J STAT PHYS, V23, P241, DOI 10.1007/BF01012594
[15] Universality of finite-size corrections to the number of critical percolation clusters
Ziff, RM
Finch, SR
Adamchik, VS
[J]. PHYSICAL REVIEW LETTERS, 1997, 79 (18) : 3447 - 3450

← 1 2 →