Avalanche and spreading exponents in systems with absorbing states

被引:172
作者
Muñoz, MA
Dickman, R
Vespignani, A
Zapperi, S
机构
[1] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy
[2] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[3] Univ Roma La Sapienza, Unita INFM, I-00185 Rome, Italy
[4] Univ Fed Santa Catarina, Dept Fis, BR-88040900 Florianopolis, SC, Brazil
[5] Ecole Super Phys & Chim Ind Ville Paris, PMMH, F-75231 Paris 05, France
关键词
D O I
10.1103/PhysRevE.59.6175
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We present generic scaling laws relating spreading critical exponents and avalanche exponents (in the sense of self-organized criticality) in general systems with absorbing states. Using these scaling laws we present a collection of the state-of-the-art exponents for directed percolation, dynamical percolation, and other universality classes. This collection of results should help to elucidate the connections of self-organized criticality and systems with absorbing states. In particular, some nonuniversality in avalanche exponents is predicted for systems with many absorbing states. [S1063-651X(99)06205-4].
引用
收藏
页码:6175 / 6179
页数:5
相关论文
共 54 条
[1]   DIRECTED PERCOLATION - FIELD EXPONENTS AND A TEST OF SCALING IN 2 AND 3 DIMENSIONS [J].
ADLER, J ;
DUARTE, JAMS .
PHYSICAL REVIEW B, 1987, 35 (13) :7046-7052
[2]   DIRECTED PERCOLATION IN 3+1 DIMENSIONS [J].
ADLER, J ;
BERGER, J ;
DUARTE, JAMS ;
MEIR, Y .
PHYSICAL REVIEW B, 1988, 37 (13) :7529-7533
[3]   PUNCTUATED EQUILIBRIUM AND CRITICALITY IN A SIMPLE-MODEL OF EVOLUTION [J].
BAK, P ;
SNEPPEN, K .
PHYSICAL REVIEW LETTERS, 1993, 71 (24) :4083-4086
[4]   SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384
[5]  
Barabasi A-Ls, 1995, FRACTAL CONCEPTS SUR, DOI [10.1017/CBO9780511599798, DOI 10.1017/CBO9780511599798]
[6]   Directed surfaces in disordered media [J].
Barabasi, AL ;
Grinstein, G ;
Munoz, MA .
PHYSICAL REVIEW LETTERS, 1996, 76 (09) :1481-1484
[7]  
Bunde A., 1991, FRACTALS DISORDERED
[8]   Theory of branching and annihilating random walks [J].
Cardy, J ;
Tauber, UC .
PHYSICAL REVIEW LETTERS, 1996, 77 (23) :4780-4783
[9]   EPIDEMIC MODELS AND PERCOLATION [J].
CARDY, JL ;
GRASSBERGER, P .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (06) :L267-L271
[10]   Universality in sandpiles [J].
Chessa, A ;
Stanley, HE ;
Vespignani, A ;
Zapperi, S .
PHYSICAL REVIEW E, 1999, 59 (01) :R12-R15