Dresden 2006 – wissenschaftliches Programm
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SYSS: Structure Formation and Self-Organization in non-equilibrium Systems
SYSS 3: Structure Formation and Self-Organization in non-equilibrium Systems - Poster
SYSS 3.25: Poster
Donnerstag, 30. März 2006, 16:00–18:00, P1
Dynamics of defect formation in the Swift-Hohenberg equation — •Tobias Galla1,2 and Esteban Moro3,2 — 1The Abdus Salam International Centre for Theoretical Physics Trieste, Italy — 2Theoretical Physics, University of Oxford, UK — 3Dept of Mathematics University Carlos III Madrid, Spain
We present numerical and analytical studies of the dynamics of defect formation during a finite-time quench of the two dimensional Swift-Hohenberg (SH) model of Rayleigh-Benard convection. We find that the Kibble-Zurek picture of defect formation can be applied to describe the density of defects produced during the quench. Our study reveals the relevance of two factors: the effect of local variations of the striped patterns within defect-free domains and the presence of both point-like and extended defects. Taking into account these two aspects we are able to identify the characteristic length scale selected during the quench and to relate it to the density of defects. We discuss possible consequences of our study for the analysis of the coarsening process of the SH model.