Berlin 2005 – scientific programme

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AKB: Biologische Physik

AKB 100: Poster Session I

AKB 100.60: Poster

Saturday, March 5, 2005, 16:45–18:45, Poster TU D

Coupling of driven and diffusive motion on one-dimensional lattices — •Hauke Hinsch, Paolo Pierobon, and Erwin Frey — Hahn-Meitner-Institut

The total asymetric exclusion process (TASEP) describes the driven motion of a single species of particles on a one-dimensional lattice with hard-core exclusion. Depending on the boundary conditions various non-equilibrium steady states of the density distribution are possible. For more realistic modelling of biological systems like motor molecules, TASEP has been extended recently (A. Parmeggiani et al, PRL 90, 086601) by coupling each lattice site to an infinite reservoir, resulting in the existence of multi-phase coexistence.

We present a study where the reservoir has a finite capacity. Specifically the reservoir is treated as lattice gas model with hard core particles governed not by driven but by diffusive motion. In this case it becomes important to take into account the time scales of the different processes. Upon studying the system by Monte-Carlo simulations and mean-field theory we have found that the density distribution depends crucially on the time scale ratio of the motion on the TASEP and the reservoir lane. Our results show that in some limiting cases the new model can be mapped on the original TASEP model with and without Langmuir kinetics.