Traveling waves in a spring-block chain sliding down a slope

Traveling waves in a spring-block chain sliding down a slope

Traveling waves are studied in a spring slider-block model. We explicitly construct front waves (kinks) for a piecewise-linear spinodal friction force. Pulse waves are obtained as the matching of two traveling fronts with identical speeds. Explicit formulas are obtained for the wavespeed and the wav...

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Veröffentlicht in:Physical review. E 2017-07, Vol.96 (1-1), p.012227-012227, Article 012227
Hauptverfasser: Morales, J E, James, G, Tonnelier, A
Format: Artikel
Sprache:eng
Schlagworte:
Dynamical Systems
Mathematics
Nonlinear Sciences
Pattern Formation and Solitons
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Zusammenfassung:Traveling waves are studied in a spring slider-block model. We explicitly construct front waves (kinks) for a piecewise-linear spinodal friction force. Pulse waves are obtained as the matching of two traveling fronts with identical speeds. Explicit formulas are obtained for the wavespeed and the wave form in the anticontinuum limit. The link with localized waves in a Burridge-Knopoff model of an earthquake fault is briefly discussed.
ISSN:2470-0045
1539-3755
2470-0053
1550-2376
DOI:10.1103/PhysRevE.96.012227