Hamburg 2001 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 42: Neuronale Netze / Statistische Physik fernab vom thermischen Gleichgewicht

DY 42.8: Vortrag

Donnerstag, 29. März 2001, 12:30–12:45, S 6

Steady states of semi-infinite driven lattice gases — •Stefan Großkinsky and Herbert Spohn — Zentrum Mathematik (M5), Technische Universität München, D-80290 München, Germany

We study a semi-infinite driven lattice gas with the left boundary coupled to a reservoir of constant particle density. An exact solution is obtained by using the matrix product ansatz, enabling us to calculate the phase diagram, density profiles, and two-point correlation functions. We can also allow for a particle source/sink at the boundary depending on the next-nearest boundary sites. The model is studied with the aim of an improved understanding of the extremal principle proposed in [1] for the steady state selection in systems with two boundaries.

V. Popkov and G.M. Schütz, Europhys. Lett. 48, 257 (1999)