Superdiffusivity of asymmetric exclusion process in dimensions one and two

被引：31
|
作者：
Landim, C
Quastel, J
Salmhofer, M
Yau, HT
机构：
[1] Inst Matematica Pura & Aplicada, BR-22460 Rio De Janeiro, Brazil
[2] Univ Rouen, CNRS, UPRES A 6085, F-76128 Mont St Aignan, France
[3] Univ Toronto, Dept Math & Stat, Toronto, ON M5S 3G3, Canada
[4] Max Planck Inst Math, D-04103 Leipzig, Germany
[5] Univ Leipzig, D-04109 Leipzig, Germany
[6] NYU, Courant Inst Math Sci, New York, NY 10012 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2004年 / 244卷 / 03期
关键词：
D O I：
10.1007/s00220-003-1020-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove that the diffusion coefficient for the asymmetric exclusion process diverges at least as fast as t(1/4) in dimension d=1 and (logt)(1/2) in d=2. The method applies to nearest and non-nearest neighbor asymmetric exclusion processes.
引用
收藏
页码：455 / 481
页数：27
相关论文
共 50 条
  • [31] THE WEAKLY ASYMMETRIC SIMPLE EXCLUSION PROCESS
    DEMASI, A
    PRESUTTI, E
    SCACCIATELLI, E
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 1989, 25 (01): : 1 - 38
  • [32] Brownian Asymmetric Simple Exclusion Process
    Lips, Dominik
    Ryabov, Artem
    Maass, Philipp
    PHYSICAL REVIEW LETTERS, 2018, 121 (16)
  • [33] THE ASYMMETRIC SIMPLE EXCLUSION PROCESS ON ZD
    ANDJEL, ED
    ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1981, 58 (03): : 423 - 432
  • [34] The asymmetric exclusion process and Brownian excursions
    Derrida, B
    Enaud, C
    Lebowitz, JL
    JOURNAL OF STATISTICAL PHYSICS, 2004, 115 (1-2) : 365 - 382
  • [35] Self-duality for the two-component asymmetric simple exclusion process
    Belitsky, V.
    Schuetz, G. M.
    JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (08) : 083302
  • [36] Zone inhomogeneity with the random asymmetric simple exclusion process in a one-lane system
    肖松
    蔡九菊
    刘飞
    Chinese Physics B, 2009, (11) : 4613 - 4621
  • [37] One-dimensional partially asymmetric simple exclusion process on a ring with a defect particle
    Sasamoto, T
    PHYSICAL REVIEW E, 2000, 61 (05): : 4980 - 4990
  • [38] One-dimensional irreversible aggregation with dynamics of a totally asymmetric simple exclusion process
    Bunzarova, N. Zh.
    Pesheva, N. C.
    PHYSICAL REVIEW E, 2017, 95 (05)
  • [39] Zone inhomogeneity with the random asymmetric simple exclusion process in a one-lane system
    Xiao Song
    Cai Jiu-ju
    Liu Fei
    CHINESE PHYSICS B, 2009, 18 (11) : 4613 - 4621
  • [40] Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques
    Sasamoto, T.
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2007,
12345