Deriving nonequilibrium interface kinetics from variational principles

Details Deriving nonequilibrium interface kinetics from variational principles Deriving nonequilibrium interface kinetics from variational principles

2004-01-21

arxiv.org/abs/cond-mat/0401379v1

Physics

Condensed Matter

Materials Science

9 pages, 2 figures

Scientific paper

Nonequilibrium dynamics at interfaces is generally driven by a chemical potential. Here we demonstrate a generic technique to derive the basic equations of motion, boundary conditions and the chemical potential in a consistent way from fundamental variational principles. As a particular example, we consider a solid surface with elastodynamic effects, together with surface energy and tension. We apply the generic results to perform a linear stability analysis of a planar front subjected to uniaxial stress (Asaro-Tiller-Grinfeld instability), here also with surface tension.

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