Dresden 2003 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 10: Statistical physics far from thermal equilibrium

DY 10.4: Vortrag

Montag, 24. März 2003, 10:30–10:45, G\"OR/226

Phase transition in the zero range process — •Stefan Großkinsky¹, Gunter Schütz², and Herbert Spohn¹ — ¹Zentrum Mathematik, TU München, 85747 Garching bei München — ²Institut für Festkörperforschung, Forschungszentrum Jülich GmbH, 52425 Jülich

A general criterion for phase separation in one dimensional nonequilibrium systems was recently given in [1]. This is based on results for the zero range process, which can be viewed as a generic model for domain dynamics in one dimension. For large volume, if the particle density exceeds a critical value, the system exhibits phase separation in a condensed and non-condensed phase in the steady state. In [2] Evans introduced a generic example of such a zero range process, where the presence of this condensation phenomenon depends on a system parameter. We study the stationary behaviour of this system in detail and analyze the coarsening phenomenon during dynamical evolution, extending the results in [2]. We also prove two theorems on the equivalence of ensembles and on the form of typical configurations in the condensated steady state for general zero range processes.

Y. Kafri, E. Levine, D. Mukamel, G.M. Schütz, and J. Török, Phys. Rev. Lett. 89(3), 035702 (2002)
M.R. Evans, Braz. J. Phys. 30, 42 (2000)