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dc.contributor.author
Purrello, Víctor Hugo
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dc.contributor.author
Iguain, Jose Luis
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dc.contributor.author
Lecomte, Vivien
dc.contributor.author
Kolton, Alejandro Benedykt
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dc.date.available
2022-07-06T02:08:42Z
dc.date.issued
2020-08
dc.identifier.citation
Purrello, Víctor Hugo; Iguain, Jose Luis; Lecomte, Vivien; Kolton, Alejandro Benedykt; Hysteretic depinning of a particle in a periodic potential: Phase diagram and criticality; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 102; 2; 8-2020; 1-12
dc.identifier.issn
2470-0045
dc.identifier.uri
http://hdl.handle.net/11336/161359
dc.description.abstract
We consider a massive particle driven with a constant force in a periodic potential and subjected to a dissipative friction. As a function of the drive and damping, the phase diagram of this paradigmatic model is well known to present a pinned, a sliding, and a bistable regime separated by three distinct bifurcation lines. In physical terms, the average velocity v of the particle is nonzero only if either (i) the driving force is large enough to remove any stable point, forcing the particle to slide or (ii) there are local minima but the damping is small enough, below a critical damping, for the inertia to allow the particle to cross barriers and follow a limit cycle; this regime is bistable and whether v>0 or v=0 depends on the initial state. In this paper, we focus on the asymptotes of the critical line separating the bistable and the pinned regimes. First, we study its behavior near the "triple point"where the pinned, the bistable, and the sliding dynamical regimes meet. Just below the critical damping we uncover a critical regime, where the line approaches the triple point following a power-law behavior. We show that its exponent is controlled by the normal form of the tilted potential close to its critical force. Second, in the opposite regime of very low damping, we revisit existing results by providing a simple method to determine analytically the exact behavior of the line in the case of a generic potential. The analytical estimates, accurately confirmed numerically, are obtained by exploiting exact soliton solutions describing the orbit in a modified tilted potential which can be mapped to the original tilted washboard potential. Our methods and results are particularly useful for an accurate description of underdamped nonuniform oscillators driven near their triple point.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Deppining
dc.subject
Periodical disorder
dc.subject.classification
Otras Ciencias Físicas
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Hysteretic depinning of a particle in a periodic potential: Phase diagram and criticality
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-09-06T18:22:31Z
dc.identifier.eissn
2470-0053
dc.journal.volume
102
dc.journal.number
2
dc.journal.pagination
1-12
dc.journal.pais
Estados Unidos
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dc.description.fil
Fil: Purrello, Víctor Hugo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
dc.description.fil
Fil: Iguain, Jose Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
dc.description.fil
Fil: Lecomte, Vivien. Universite Grenoble Alpes; Francia. Centre National de la Recherche Scientifique; Francia
dc.description.fil
Fil: Kolton, Alejandro Benedykt. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Universidad Nacional de Cuyo; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Physical Review E: Statistical, Nonlinear and Soft Matter Physics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevE.102.022131
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevE.102.022131
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