Dislocation Dynamics in Rayleigh-B\'enard Convection
Soft Condensed Matter
2007-05-23 v1
Abstract
Theoretical results on the dynamics of dislocations in Rayleigh-B\'enard convection are reported both for Swift-Hohenberg models and the Boussinesq equations. For intermediate Prandtl numbers the motion of dislocations is found to be driven by the superposition of two independent contributions: (i) the Peach-Koehler force derived from the change of a Lyapunov potential with pattern wave number; (ii) a non-potential advection force on the dislocation core by its self-generated mean flow. Their competition allows for the first time to understand the experimentally observed bound dislocation pairs.
Cite
@article{arxiv.cond-mat/0212570,
title = {Dislocation Dynamics in Rayleigh-B\'enard Convection},
author = {Th. Walter and W. Pesch and E. Bodenschatz},
journal= {arXiv preprint arXiv:cond-mat/0212570},
year = {2007}
}
Comments
4 pages, submitted to PRL