Bootstrap percolation: Visualizations and applications

被引:62
作者
Adler, J [1 ]
Lev, U
机构
[1] Technion IIT, Dept Phys, IL-32000 Haifa, Israel
[2] Technion Israel Inst Technol, Dept Mat Engn, IL-32000 Haifa, Israel
关键词
D O I
10.1590/S0103-97332003000300031
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Bootstrap percolation models describe systems as diverse as magnetic materials, fluid flow in rocks and computer storage systems. The models have a common feature of requiring not just a simple connectivity of neighbouring sites, but rather an environment of other suitably occupied sites. Different applications as well as the connection with the mathematical literature on these models is presented. Visualizations that show the compact nature of the clusters are provided.
引用
收藏
页码:641 / 644
页数:4
相关论文
共 33 条
[1]   BOOTSTRAP PERCOLATION [J].
ADLER, J .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1991, 171 (03) :453-470
[2]   DIFFUSION PERCOLATION .1. INFINITE TIME LIMIT AND BOOTSTRAP PERCOLATION [J].
ADLER, J ;
AHARONY, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (06) :1387-1404
[3]   Visualization of MD and MC simulations for atomistic modeling [J].
Adler, J ;
Hashibon, A ;
Schreiber, N ;
Sorkin, A ;
Sorkin, S ;
Wagner, G .
COMPUTER PHYSICS COMMUNICATIONS, 2002, 147 (1-2) :665-669
[4]   TRANSMISSION OF ORDER IN SOME UNUSUAL DILUTE SYSTEMS [J].
ADLER, J ;
PALMER, RG ;
MEYER, H .
PHYSICAL REVIEW LETTERS, 1987, 58 (09) :882-885
[5]  
ADLER J, 1999, COMPUTER SIMULATION, V11, P186
[6]  
ADLER J, 2002, RECENT DEV COMPUTER, V14, P160
[7]   METASTABILITY EFFECTS IN BOOTSTRAP PERCOLATION [J].
AIZENMAN, M ;
LEBOWITZ, JL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (19) :3801-3813
[8]  
BIENENSTOCK E, 1986, SERIES NATO ASI, V20
[9]   Universality class for bootstrap percolation with m=3 on the cubic lattice [J].
Branco, NS ;
Silva, CJ .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1999, 10 (05) :921-930
[10]   The threshold regime of finite volume bootstrap percolation [J].
Cerf, R ;
Manzo, F .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2002, 101 (01) :69-82