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Convection

1 post

#Bifurcation #Convection #Simulation #Stochastic #Stochastic differential equation

Defect formation in the Swift-Hohenberg equation

Authors: Tobias Galla and Esteban Moro Journal: Phys. Rev. E, Rapid Communication 67, 035101 (2003). LINK | arXiv Abstract: We study numerically and analytically the dynamics of defect formation during a finite-time quench of the two-dimensional Swift-Hohenberg (SH) model of Rayleigh-Bénard 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 pointlike and extended defects. ...

Author Esteban Moro
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