2026-06-08T12:21:12Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/572072024-07-09T15:36:16Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Carpio Rodríguez, Ana María
author
Bonilla, Luis L.
2023-06-20T16:50:37Z
2023-06-20T16:50:37Z
2003
Carpio Rodríguez, A. M. y Bonilla, L. L. «Oscillatory Wave Fronts in Chains of Coupled Nonlinear Oscillators». Physical Review E, vol. 67, n.o 5, mayo de 2003, p. 056621. DOI.org (Crossref), https://doi.org/10.1103/PhysRevE.67.056621.
1539-3755
10.1103/PhysRevE.67.056621
https://hdl.handle.net/20.500.14352/57207
https://doi.org/10.1103/PhysRevE.67.056621
http://arxiv.org/pdf/cond-mat/0303576.pdf
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.
eng
Oscillatory wave fronts in chains of coupled nonlinear oscillators
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