Oscillatory wave fronts in chains of coupled nonlinear oscillators
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(cd) (dynamic Peierls stress), wave fronts fail to propagate, for F(cd)<\F\<F(cs) stable static and moving wave fronts coexis...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57207 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/57207 |
| Access Level: | acceso abierto |
| Palabra clave: | 530.1 517.9 Semiconductor superlattices Discrete Propagation Dynamics Failure Systems Física matemática Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Sumario: | 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(cd) (dynamic Peierls stress), wave fronts fail to propagate, for F(cd)<\F\<F(cs) stable static and moving wave fronts coexist, and 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 nonmonotone and become wavy (oscillatory) in one of their tails. |
|---|