Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

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Conférence

 Asymmetric simple exclusion process with quenched disorder Ferenc Iglói Budapest jeudi 27 mai 2004 , 14h45 Conférence présentée à l'atelier (2004) 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 average distance traveled by a particle, $x$, scales with the time, $t$, as $x \sim t^{1/z}$, with a dynamical exponent $z > 1$. Using extreme value statistics and an asymptotically exact strong disorder renormalization group method we analytically calculate, $z_{pr}$, for particlewise (pt) disorder, which is argued to be related to the dynamical exponent for sitewise (st) disorder as $z_{st}=z_{pr}/2$. In the symmetric situation with zero mean drift the particle diffusion is ultra-slow, logarithmic in time.