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DY: Dynamik und Statistische Physik

DY 14: Solitons and Stochastic Dynamics

DY 14.6: Vortrag

Montag, 8. März 2004, 15:45–16:00, H2

The Totally Asymmetric Exclusion Process with Langmuir Kinetics — •Thomas Franosch, Andrea Parmeggiani, and Erwin Frey — Hahn-Meitner Institut

We discuss a new class of driven lattice gases obtained by coupling the one-dimensional totally asymmetric exclusion process to Langmuir kinetics. In the limit where these dynamics compete, the resulting non-conserved flow of particles on the lattice leads to stationary regimes for large but finite systems. We observe unexpected properties such as localized boundaries (domain walls) that separate coexisting regions of low and high density of particles (phase coexistence). We rationalize the findings for the average density and current profiles obtained from simulations within a mean-field approach in the continuum limit. The ensuing analytic solution is expressed in terms of Lambert W-functions. It allows to fully describe the phase diagram and to extract unusual mean-field exponents that characterize the critical properties of the domain wall.