Phase transition in a non-conserving driven diffusive system

被引：21
作者：
Evans, MR
Kafri, Y
Levine, E
Mukamel, D
机构：
[1] Univ Edinburgh, Dept Phys & Astron, Edinburgh EH9 3JZ, Midlothian, Scotland
[2] Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 29期
关键词：
D O I：
10.1088/0305-4470/35/29/101
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An asymmetric exclusion process comprising positive particles, negative particles and vacancies is introduced. The model is defined on a ring and the dynamics does not conserve the number of particles. We solve the steady state exactly and show that it can exhibit a continuous phase transition in which the density of vacancies decreases to zero. The model has no absorbing state and furnishes an example of a one-dimensional phase transition in a homogeneous non-conserving system which does not belong to the absorbing state universality classes.
引用
收藏
页码：L433 / L438
页数：6
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共 24 条
  • [1] Spontaneous breaking of translational invariance and spatial condensation in stationary states on a ring. I. The neutral system
    Arndt, PF
    Heinzel, T
    Rittenberg, V
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1999, 97 (1-2) : 1 - 65
  • [2] Spontaneous breaking of translational invariance in one-dimensional stationary states on a ring
    Arndt, PF
    Heinzel, T
    Rittenberg, V
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (02): : L45 - L51
  • [3] Stochastic ballistic annihilation and coalescence
    Blythe, RA
    Evans, MR
    Kafri, Y
    [J]. PHYSICAL REVIEW LETTERS, 2000, 85 (18) : 3750 - 3753
  • [4] Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
    Blythe, RA
    Evans, MR
    Colaiori, F
    Essler, FHL
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (12): : 2313 - 2332
  • [5] EXACT SOLUTION OF A 1D ASYMMETRIC EXCLUSION MODEL USING A MATRIX FORMULATION
    DERRIDA, B
    EVANS, MR
    HAKIM, V
    PASQUIER, V
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (07): : 1493 - 1517
  • [6] EXACT SOLUTION OF THE TOTALLY ASYMMETRIC SIMPLE EXCLUSION PROCESS - SHOCK PROFILES
    DERRIDA, B
    JANOWSKY, SA
    LEBOWITZ, JL
    SPEER, ER
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1993, 73 (5-6) : 813 - 842
  • [7] Phase separation in one-dimensional driven diffusive systems
    Evans, MR
    Kafri, Y
    Koduvely, HM
    Mukamel, D
    [J]. PHYSICAL REVIEW LETTERS, 1998, 80 (03) : 425 - 429
  • [8] Phase separation and coarsening in one-dimensional driven diffusive systems: Local dynamics leading to long-range Hamiltonians
    Evans, MR
    Kafri, Y
    Koduvely, HM
    Mukamel, D
    [J]. PHYSICAL REVIEW E, 1998, 58 (03) : 2764 - 2778
  • [9] SPONTANEOUS SYMMETRY-BREAKING IN A ONE-DIMENSIONAL DRIVEN DIFFUSIVE SYSTEM
    EVANS, MR
    FOSTER, DP
    GODRECHE, C
    MUKAMEL, D
    [J]. PHYSICAL REVIEW LETTERS, 1995, 74 (02) : 208 - 211
  • [10] EVANS MR, IN PRESS PHYSICA A
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