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. |