Berlin 2005 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 51: Einstein Symposium Brownian Motion, Diffusion and Beyond (SYBM) – Contributed Talks II
DY 51.11: Vortrag
Mittwoch, 9. März 2005, 12:45–13:00, TU H2032
Partially asymmetric exclusion models with quenched disorder — •Ludger Santen1, Róbert Juhász1, and Ferenc Iglói2 — 1Fachrichtung Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken — 2Research Institute for Solid State Physics and Optics, H-1525 Budapest, P.O. Box 49, Hungary
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, zpr, for particlewise (pt) disorder, which is argued to be related as, zst=zpr/2, for sitewise (st) disorder. In the symmetric with zero mean drift the particle diffusion is ultra-slow, logarithmic in time.