Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 28: Statistical physics far from thermal equilibrium

DY 28.5: Vortrag

Donnerstag, 28. Februar 2008, 15:30–15:45, A 060

Statistical properties of disordered driven lattice gases with open boundary conditions — •Philip Greulich — Institut für Theoretische Physik, Universität zu Köln, Köln, Germany

We investigate driven lattice gases with open boundary conditions in presence of randomly distributed defect sites with reduced hopping rate. These systems can be used as models for intracellular transport systems impurified by immobile blocking molecules. In contrast to equilibrium, even macroscopic quantities in disordered non-equilibrium systems depend sensitively on the defect sample. We show that the leading behaviour in the disordered system is determined by the longest stretch of consecutive defect sites. Using results from extreme value statistics, this single bottleneck approximation gives accurate results for probability distributions and the expectation value of the maximum current at small defect densities. Corrections from bottleneck interactions can be taken into account systematically by a perturbative expansion which also yields criteria for the validity of the single bottleneck approximation.