Partially asymmetric exclusion models with quenched disorder
R. Juhasz, L. Santen, F. Igloi
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 analytically calculate, zpt, for particlewise (pt) disorder, which is argued to be related to the dynamical exponent for sitewise (st) disorder as zst=zpt/2. In the symmetric situation with zero mean drift the particle diffusion is ultra-slow, logarithmic in time.
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