Transition from nonradiative to radiative oscillons in parametrically driven systems
Author
dc.contributor.author
Álvarez Socorro, Alejandro J.
Author
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Berríos Caro, Ernesto
Author
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Clerc Gavilán, Marcel G.
Author
dc.contributor.author
León, Alejandro O.
Admission date
dc.date.accessioned
2020-06-19T16:55:50Z
Available date
dc.date.available
2020-06-19T16:55:50Z
Publication date
dc.date.issued
2020
Cita de ítem
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Phys. Rev. E 101, 052209 (2020)
es_ES
Identifier
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10.1103/PhysRevE.101.052209
Identifier
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https://repositorio.uchile.cl/handle/2250/175601
Abstract
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Nonequilibrium systems exhibit particle-type solutions. Oscillons are one of the best-known localized states of systems with time-dependent forcing or parametrically driven systems. We investigate the transition from nonradiative to radiative oscillons in the parametrically driven sine-Gordon model in two spatial dimensions. The bifurcation takes place when the strength of the forcing (frequency) increases (decreases) above a certain threshold. As a result of this transition, the oscillon emits radially symmetric evanescent waves. Numerically, we provide the phase diagram and show the supercritical nature of this transition. For small oscillations, based on the amplitude equation approach, the sine-Gordon equation with time-dependent forcing is transformed into the parametrically driven damped nonlinear Schrodinger model in two spatial dimensions. This amplitude equation exhibits a transition between nonradiative to radiative localized structures, consistently. Both models show quite good agreement.
es_ES
Patrocinador
dc.description.sponsorship
Becas Conicyt 2015
21151618
Postdoctorado FONDECYT 20019
3190030
Financiamento Basal para Centros Cientificos de Excelencia
FB0807
Millennium Institute for Research in Optics (Miro)
Presidential Doctoral Scholarship (The University of Manchester)