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DY: Fachverband Dynamik und Statistische Physik

DY 30: Nonlinear stochastic systems

DY 30.4: Talk

Friday, March 27, 2009, 11:00–11:15, ZEU 118

Estimation of an effective potential for a collective variable of globally coupled bistable systems — •Christoph Honisch — Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster

We derive an effective Langevin equation for the mean field of N globally coupled bistable systems subject to a periodic driving force and Gaussian white noise. For this purpose we simulate the system and at first give evidence that the behaviour of the mean field can be described as a Markov process. Then we use a numerical algorithm to estimate the Kramers Moyal coefficients D⁽¹⁾ and D⁽²⁾ of the corresponding Fokker-Planck equation. This estimation is used to reconstruct the behaviour of the mean field via a one dimensional effective Langevin equation. Finally the result is compared to the mean field of the original N dimensional system.