Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.46: Poster

Dienstag, 26. Februar 2008, 16:00–18:00, Poster C

Hopf-bifurcations in systems with conserved quantities — •Markus Hilt and Walter Zimmermann — Theoretische Physik I, Universität Bayreuth, 95440 Bayreuth, Germany

A cubic Ginzburg-Landau equation is presented, which describes the universal properties of a Hopf-bifurcation in a system with conserved quantities. It is a universal feature of the equation that all traveling wave solutions are linear unstable. In finite systems with periodic boundary conditions only the solution with the longest possible wavelength is stable in some parameter range. This is different from the behavior of a Hopf-bifurcation in systems with an unconserved order parameter.

We present four typical solution scenarios of this universal equation. In addition we show that the typical nonlinear coarsening behavior in such systems may be suppressed by temporal forcing whereby a wavelength range is selected which depends on the forcing frequency.