Diffusion-Induced Oscillations of Extended Defects
Mesoscale and Nanoscale Physics
2015-06-03 v1 Materials Science
Statistical Mechanics
Abstract
From a simple model for the driven motion of a planar interface under the influence of a diffusion field we derive a damped nonlinear oscillator equation for the interface position. Inside an unstable regime, where the damping term is negative, we find limit-cycle solutions, describing an oscillatory propagation of the interface. In case of a growing solidification front this offers a transparent scenario for the formation of solute bands in binary alloys, and, taking into account the Mullins-Sekerka instability, of banded structures.
Cite
@article{arxiv.1112.3669,
title = {Diffusion-Induced Oscillations of Extended Defects},
author = {Alexander L. Korzhenevskii and Richard Bausch and Rudi Schmitz},
journal= {arXiv preprint arXiv:1112.3669},
year = {2015}
}