Partially asymmetric exclusion models with quenched disorder

Róbert Juhász, Ludger Santen, Ferenc Iglói

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

We consider the one-dimensional partially asymmetric exclusion process with random hopping rates, in which a fraction of particles (or sites) have a preferential jumping direction against the global drift. In this case, the accumulated distance traveled by the particles, x, scales with the time, t, as x ∼ t1/z, with a dynamical exponent z > 0. Using extreme value statistics and an asymptotically exact strong disorder renormalization group method, we exactly calculate zPW for particlewise disorder, which is argued to be related as zSW = ZPW/2 for sitewise disorder. In the symmetric case with zero mean drift, the particle diffusion is ultraslow, logarithmic in time.

Original languageEnglish
Article number010601
JournalPhysical review letters
Volume94
Issue number1
DOIs
Publication statusPublished - Jan 14 2005

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Partially asymmetric exclusion models with quenched disorder'. Together they form a unique fingerprint.

  • Cite this