Berlin 2005 – scientific programme

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DY: Dynamik und Statistische Physik

DY 34: Poster

DY 34.120: Poster

Monday, March 7, 2005, 15:30–18:00, Poster TU D

Statistics of transition times, phase diffusion and synchronization in periodically driven bistable systems — •Michael Schindler¹, Peter Talkner¹, Lukasz Machura^1,2, Peter Hänggi¹ und Jerzy Łuczka² — ¹Theoretical Physics I, Institute of Physics, Augsburg University, Germany — ²Department of Theoretical Physics, Institute of Physics, Silesian University, Poland

The statistics of transitions between the metastable states of a periodically driven bistable Brownian oscillator are investigated on the basis of a two-state description by means of a master equation with time-dependent rates. The results are compared with extensive numerical simulations of the Langevin equation for a sinusoidal driving force. Very good agreement is achieved both for the counting statistics of the number of transitions per period and the residence time distribution of the process in either state. The counting statistics corroborate in a consistent way the interpretation of stochastic resonance as a synchronization phenomenon for a properly defined generalized Rice phase [1].

[1] P. Talkner, L. Machura, M. Schindler, P. Hänggi and J. Łuczka, New Journal of Physics (January 2005); preprint physics/0409065