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DY: Dynamik und Statistische Physik
DY 14: Solitons and Stochastic Dynamics
DY 14.1: Vortrag
Montag, 8. März 2004, 14:30–14:45, H2
Investigation of the dynamics of dissipative solitons using stochastic data analysis — •Hendrik U. Bödeker1, Andreas W. Liehr1, Till D. Frank2, Rudolf Friedrich2, and Hans-Georg Purwins1 — 1Westfälische Wilhelms-Universität Münster, Institut für Angewandte Physik, Corrensstr. 2/4, 48149 Münster — 2Westfälische Wilhelms-Universität Münster, Institut für Theoretische Physik, Wilhelm-Klemm-Str. 9, 48149 Münster
We develop methods to analyze the dynamics and the interaction of dissipative solitons in the form of localized current filaments under the influence of strong fluctuations in a quasi-2-dimensional planar gas-discharge system with high-ohmic barrier. The form of the experimentally recorded trajectories motivates a modelling of the dynamics by stochastic differential equations in the form of Langevin equations. Methods of stochastic data analysis allow for a quantitative separation of the deterministic and the stochastic part of the dynamics of isolated dissipative solitons from the recorded data series. In this case, both intrinsically stationary and intrinsically propagating solitons can be found. The transition takes place via a supercritical bifurcation with a typical scaling law. This is also the result of theoretical predictions. An extension of the Langevin equations by generalized interaction forces enables the description of interaction processes between several filaments. The determination of the interaction function of mutually interacting dissipative solitons from experimentally recorded data series reveals a distance-dependent interaction law with varying regions of attraction and repulsion.