Diffusion-Induced Oscillations of Extended Defects

Details Diffusion-Induced Oscillations of Extended Defects Diffusion-Induced Oscillations of Extended Defects

2011-12-15

arxiv.org/abs/1112.3669v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

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.

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