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DY: Fachverband Dynamik und Statistische Physik

DY 18: Statistical Physics Far from Thermal Equilibrium

DY 18.6: Vortrag

Mittwoch, 13. März 2013, 11:00–11:15, H48

Globally Coupled Stratonovich Models: Self-consistent Theory of a Non-equilibrium Continuous Phase Transition — •Marc Höll¹ and Ulrich Behn² — ¹Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany — ²Institut für Theoretische Physik, Universität Leipzig, Brüderstr. 16, 04103 Leipzig, Germany

We consider a globally harmonically coupled array of N Stratonovich models. The system exhibits a second order non-equilibrium phase transition when crossing a critical value of the control parameter. For strong coupling it is useful to introduce center of mass and relative coordinates since their chararacteristic time scales are clearly separated. We develop a self consistent approximate theory to determine the stationary probability distributions of these coordinates. For infinite coupling strength the relative coordinates relax very fast to zero and the stationary probability distribution is a δ-function, whereas for finite strength it has a nonzero variance which is determined self-consistently. The results for finite systems with strong but finite coupling are compared with data from simulations and a good agreement is observed.