Oscillatory wave fronts in chains of coupled nonlinear oscillators

Details Oscillatory wave fronts in chains of coupled nonlinear oscillators Oscillatory wave fronts in chains of coupled nonlinear oscillators

2003-03-27

arxiv.org/abs/cond-mat/0303576v1

Phys. Rev. E 67, 056621 (2003)

Physics

Condensed Matter

Materials Science

18 pages, 21 figures, 2 column revtex. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.67.056621

Wave front pinning and propagation in damped chains of coupled oscillators are studied. There are two important thresholds for an applied constant stress $F$: for $|F| F_{cs}$ (static Peierls stress) there are only stable moving wave fronts. For piecewise linear models, extending an exact method of Atkinson and Cabrera's to chains with damped dynamics corroborates this description. For smooth nonlinearities, an approximate analytical description is found by means of the active point theory. Generically for small or zero damping, stable wave front profiles are non-monotone and become wavy (oscillatory) in one of their tails.

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