Transverse Instability of Solitons Propagating on Current-Carrying Metal Thin Films

Details Transverse Instability of Solitons Propagating on Current-Carrying Metal Thin Films Transverse Instability of Solitons Propagating on Current-Carrying Metal Thin Films

2001-05-30

arxiv.org/abs/nlin/0105069v1

Nonlinear Sciences

Pattern Formation and Solitons

25 pages with 2 figures. To appear in Physica D

Scientific paper

10.1016/S0167-2789(01)00295-0

Small amplitude, long waves travelling over the surface of a current-carrying metal thin film are studied. The equation of motion for the metal surface is determined in the limit of high applied currents, when surface electromigration is the predominant cause of adatom motion. If the surface height h is independent of the transverse coordinate y, the equation of motion reduces to the Korteweg-de Vries equation. One-dimensional solitons (i.e., those with h independent of y) are shown to be unstable against perturbations to their shape with small transverse wavevector.

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