# Deriving nonequilibrium interface kinetics from variational principles

Source: [Deriving nonequilibrium interface kinetics from variational principles](<https://www.sota2.com/research/paper/68fa1e557a2b558e29321c0e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T14:45:12.267Z

Authors: Robert Spatschek

Published: 2004-01-21T09:10:59.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0401379>)

[PDF](<https://arxiv.org/pdf/cond-mat/0401379.pdf>)