Field theory of absorbing phase transitions with a nondiffusive conserved field

被引：63

作者：

Pastor-Satorras, R

Vespignani, A

机构：

[1] Univ Barcelona, Fac Fis, Dept Fis Fonamental, E-08028 Barcelona, Spain

[2] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy

来源：

PHYSICAL REVIEW E | 2000年 / 62卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.62.R5875

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 investigate the critical behavior of a reaction-diffusion system exhibiting a continuous absorbing-state phase transition. The reaction-diffusion system strictly conserves the total density of particles, represented as a nondiffusive conserved field, and allows an infinite number of absorbing configurations. Numerical results show that it belongs to a wide universality class that also includes stochastic sandpile models. We derive microscopically the field theory representing this universality class.

引用

收藏

页码：R5875 / R5878

页数：4

相关论文

共 31 条

[1] IRREVERSIBLE SATURATION TRANSITIONS IN DIMER DIMER REACTION MODELS OF HETEROGENEOUS CATALYSIS [J].

ALBANO, EV .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (09) :2557-2568

[2] SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].

BAK, P ;

TANG, C ;

WIESENFELD, K .

PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384

[3] Theory of branching and annihilating random walks [J].

Cardy, J ;

Tauber, UC .

PHYSICAL REVIEW LETTERS, 1996, 77 (23) :4780-4783

[4] DIRECTED PERCOLATION AND REGGEON FIELD-THEORY [J].

CARDY, JL ;

SUGAR, RL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (12) :L423-L427

[5] Critical exponents in stochastic sandpile models [J].

Chessa, A ;

Vespignani, A ;

Zapperi, S .

COMPUTER PHYSICS COMMUNICATIONS, 1999, 121 :299-302

[6] Rare events and breakdown of simple scaling in the Abelian sandpile model [J].

De Menech, M ;

Stella, AL ;

Tebaldi, C .

PHYSICAL REVIEW E, 1998, 58 (03) :R2677-R2680

[7] The Abelian sandpile and related models [J].

Dhar, D .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1999, 263 (1-4) :4-25

[8] Self-organized criticality as an absorbing-state phase transition [J].

Dickman, R ;

Vespignani, A ;

Zapperi, S .

PHYSICAL REVIEW E, 1998, 57 (05) :5095-5105

[9] REGGEON FIELD-THEORY (SCHLOGL 1ST MODEL) ON A LATTICE - MONTE-CARLO CALCULATIONS OF CRITICAL BEHAVIOR [J].

GRASSBERGER, P ;

DELATORRE, A .

ANNALS OF PHYSICS, 1979, 122 (02) :373-396

[10] THE BAK-SNEPPEN MODEL FOR PUNCTUATED EVOLUTION [J].

GRASSBERGER, P .

PHYSICS LETTERS A, 1995, 200 (3-4) :277-282

← 1 2 3 4 →