Regensburg 2013 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 18: Statistical Physics Far from Thermal Equilibrium
DY 18.9: Talk
Wednesday, March 13, 2013, 11:45–12:00, H48
Globally Coupled Nonlinear Systems with Additive Noise — •Rüdiger Kürsten1,2, Susanne Gütter1, and Ulrich Behn1 — 1Institut für Theoretische Physik, Brüderstr. 16, 04103 Leipzig — 2Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstr. 22, 04103 Leipzig
We consider the overdamped motion of N harmonically coupled particles in a double well potential under the influence of additive Gaussian white noise. System parameters are noise strength, coupling strength and potential barrier height. In the limit N → ∞ the system exhibits a continous phase transition from a symmetric to a non-symmetric state.
Given any two parameters, positive, there exists a unique critical value for the third parameter, separating the symmetric from the non-symmetric parameter regime.
An inequality for the parameters holding for any critical point is shown and the critical potential barrier is asymptotically calculated. The critical potential barrier reaches the bounds of the inequality for strong coupling or weak noise and for weak coupling or strong noise.
The critical exponents for the order parameter and the susceptibility are computed and universality of the amplitude ratio of the susceptibilities is shown.