Dresden 2006 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 26: Brownian Motion and Kinetic Theory II
DY 26.2: Vortrag
Dienstag, 28. März 2006, 16:30–16:45, H\"UL 186
Stochastic resonance in a domain with two reflecting boundaries — •Elisabeth Paule1, Th. Pletl1, P. Chvosta2, M. Schulz1, and P. Reineker1 — 1Department of Theoretical Physics, University of Ulm, Albert-Einstein-Allee 11, 89069 Ulm, Germany — 2Department of Macromolecular Physics, Faculty of Mathematics and Physics, Charles University, V Holesovickach 2, CZ-180 00 Praha, Czech Republic
We present our numerical results of a one-dimensional diffusion process of a particle in a linear time-dependent potential. The particle is moving in a domain with two reflecting boundaries. The corresponding external force consists of two parts, a time independent part pushing the particle to the right boundary and a harmonically oscillating part. We solve the Fokker-Planck equation (FPE) with the Finite-Element Method (FEM). From the numerical solution of the FPE we calculate the mean position of the particle for different diffusion coefficients and different strengths of the oscillating force. It is shown that the mean position is an oscillating function. In the stationary limit we regard the variation of the amplitude of the mean position with the diffusion coefficient for different strenghts of the external time-dependent force. The response of the system shows resonance like behavior for a range of the strength of the external oscillating force. There is a force strength for which this resonance like behavior dissappears.