title: Partially asymmetric exclusion models with quenched disorder.
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 approximately t(1/z), with a dynamical exponent z>0. Using extreme value statistics and an asymptotically exact strong disorder renormalization group method, we exactly calculate z(PW) for particlewise disorder, which is argued to be related as z(SW)=z(PW)/2 for sitewise disorder. In the symmetric case with zero mean drift, the particle diffusion is ultraslow, logarithmic in time.
authors.affiliation: Theoretische Physik, Universität des Saarlandes, D-66041 Saarbrücken, Germany. juhasz@lusi.uni-sb.de
authors.forename: Róbert
authors.initials: R
authors.lastname: Juhász
authors.forename: Ludger
authors.initials: L
authors.lastname: Santen
authors.forename: Ferenc
authors.initials: F
authors.lastname: Iglói