Partially asymmetric exclusion processes with sitewise disorder

Róbert Juhász, Ludger Santen, F. Iglói

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

We study the stationary properties as well as the nonstationary dynamics of the one-dimensional partially asymmetric exclusion process with position-dependent random hop rates. Relating the hop rates to an energy landscape the stationary current J is determined by the largest barrier in a finite system of L sites and the corresponding waiting time τ∼ J-1 is related to the waiting time of a single random walker, τrw, as τ∼ τ rw 1 2. The current is found to vanish as J∼ L-z 2, where z is the dynamical exponent of the biased single-particle Sinai walk. Typical stationary states are phase separated: At the largest barrier almost all particles queue at one side and almost all holes are at the other side. The high-density (low-density) region is divided into ∼ L1 2 connected parts of particles (holes) which are separated by islands of holes (particles) located at the subleading barriers (valleys). We also study nonstationary processes of the system, like coarsening and invasion. Finally we discuss some related models, where particles of larger size or multiple occupation of lattice sites is considered.

Original languageEnglish
Article number061101
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number6
DOIs
Publication statusPublished - 2006

Fingerprint

Asymmetric Exclusion Process
exclusion
Disorder
disorders
Waiting Time
Nonstationary Processes
Energy Landscape
Invasion
Coarsening
Stationary States
Walk
occupation
Biased
valleys
Queue
Vanish
Exponent
exponents
Dependent

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Partially asymmetric exclusion processes with sitewise disorder. / Juhász, Róbert; Santen, Ludger; Iglói, F.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 74, No. 6, 061101, 2006.

Research output: Contribution to journalArticle

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