Universality classes in nonequilibrium lattice systems

被引:626
作者
Odor, G [1 ]
机构
[1] Res Inst Tech Phys & Mat Sci, H-1525 Budapest, Hungary
关键词
D O I
10.1103/RevModPhys.76.663
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This article reviews our present knowledge of universality classes in nonequilibrium systems defined on regular lattices. The first section presents the most important critical exponents and relations, as well as the field-theoretical formalism used in the text. The second section briefly addresses the question of scaling behavior at first-order phase transitions. In Sec. III the author looks at dynamical extensions of basic static classes, showing the effects of mixing dynamics and of percolation. The main body of the review begins in Sec. IV, where genuine, dynamical universality classes specific to nonequilibrium systems are introduced. Section V considers such nonequilibrium classes in coupled, multicomponent systems. Most of the known nonequilibrium transition classes are explored in low dimensions between active and absorbing states of reaction-diffusion-type systems. However, by mapping they can be related to the universal behavior of interface growth models, which are treated in Sec. VI. The review ends with a summary of the classes of absorbing-state and mean-field systems and discusses some possible directions for future research.
引用
收藏
页码:663 / 724
页数:62
相关论文
共 432 条
  • [91] ISOTROPIC MAJORITY-VOTE MODEL ON A SQUARE LATTICE
    DEOLIVEIRA, MJ
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1992, 66 (1-2) : 273 - 281
  • [92] EXACT FIRST-PASSAGE EXPONENTS OF 1D DOMAIN GROWTH - RELATION TO A REACTION-DIFFUSION MODEL
    DERRIDA, B
    HAKIM, V
    PASQUIER, V
    [J]. PHYSICAL REVIEW LETTERS, 1995, 75 (04) : 751 - 754
  • [93] NONTRIVIAL EXPONENTS IN THE ZERO-TEMPERATURE DYNAMICS OF THE 1D ISING AND POTTS MODELS
    DERRIDA, B
    BRAY, AJ
    GODRECHE, C
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (11): : L357 - L361
  • [94] An exactly soluble non-equilibrium system: The asymmetric simple exclusion process
    Derrida, B
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 301 (1-3): : 65 - 83
  • [95] DYNAMIC PHASE-TRANSITIONS IN 3-DIMENSIONAL SPIN-GLASSES
    DERRIDA, B
    WEISBUCH, G
    [J]. EUROPHYSICS LETTERS, 1987, 4 (06): : 657 - 662
  • [96] The Abelian sandpile and related models
    Dhar, D
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1999, 263 (1-4) : 4 - 25
  • [97] Moment ratios for absorbing-state phase transitions
    Dickman, R
    da Silva, JKL
    [J]. PHYSICAL REVIEW E, 1998, 58 (04) : 4266 - 4270
  • [98] 1ST-ORDER PHASE-TRANSITION IN A ONE-DIMENSIONAL NONEQUILIBRIUM MODEL
    DICKMAN, R
    TOME, T
    [J]. PHYSICAL REVIEW A, 1991, 44 (08): : 4833 - 4838
  • [99] Nonuniversality in the pair contact process with diffusion
    Dickman, R
    de Menezes, MAF
    [J]. PHYSICAL REVIEW E, 2002, 66 (04): : 4 - 045101
  • [100] Pair contact process with a particle source -: art. no. 016118
    Dickman, R
    Rabêlo, WRM
    Odor, G
    [J]. PHYSICAL REVIEW E, 2002, 65 (01):