Length-scale competition in the damped sine-Gordon chain with spatiotemporal periodic driving

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dc.contributor.author Cai, David
dc.contributor.author Bishop, Alan R.
dc.contributor.author Sánchez, Angel
dc.date.accessioned 2012-08-02T10:07:32Z
dc.date.available 2012-08-02T10:07:32Z
dc.date.issued 1993-08
dc.identifier.bibliographicCitation Physical Review E, vol. 48, n. 2, aug. 1993. Pp. 1447–1452
dc.identifier.issn 1539-3755 (print version)
dc.identifier.issn 1550-2376 (online version)
dc.identifier.uri http://hdl.handle.net/10016/15102
dc.description.abstract It is shown that there are two different regimes for the damped sine-Gordon chain driven by the spatiotemporal periodic force rsin(wt - knx) with a flat initial condition. For w > kn, the system first bifurcates at a critical re (n) to a translating two-breather excitation from a state locked to the driver. For w < kn, the excitations of the system are the locked states with the phase velocity w/kn in all the regions of r studied. In the first regime, the frequency of the breathers is controlled by w, and the velocity of the breathers, controlled by kn, is shown to be the group velocity determined from the linear dispersion relation for the sine-Gordon equation. A linear stability analysis reveals that, in addition to two competing length scales, namely, the width of the breathers and the spatial period of the driving, there is one more length scale which plays an important role in controlling the dynamics of the system at small driving. In the second regime the length scale kn controls the excitation. The above picture is further corroborated by numerical nonlinear spectral analysis. An energy-balance estimate is also presented and shown to predict the critical value of r in good agreement with the numerical simulations.
dc.description.sponsorship We acknowledge support for this work by the V.S. DOE and partial financial support for A.S. by CICyT (Spain) under Project No. MAT90-0544.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Physical Society
dc.title Length-scale competition in the damped sine-Gordon chain with spatiotemporal periodic driving
dc.type article
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1103/PhysRevE.48.1447
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1103/PhysRevE.48.1447
dc.rights.accessRights openAccess
dc.type.version publishedVersion
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