title: Diffusion-induced oscillations of extended defects.
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 the 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.
authors.affiliation: Institute for Problems of Mechanical Engineering, RAS, Bol'shoi prospect VO 61, St Petersburg 199178, Russia.
authors.forename: Alexander L
authors.initials: AL
authors.lastname: Korzhenevskii
authors.forename: Richard
authors.initials: R
authors.lastname: Bausch
authors.forename: Rudi
authors.initials: R
authors.lastname: Schmitz