Instabilities and relaxation to equilibrium in long-range oscillator chains

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dc.contributor.utaustinauthorMiloshevich, Georgeen_US
dc.creatorMiloshevich, Georgeen_US
dc.creatorNguenang, Jean- Pierreen_US
dc.creatorDauxois, Thierryen_US
dc.creatorKhomeriki, Ramazen_US
dc.creatorRuffo, Stefanoen_US
dc.date.accessioned2017-07-18T20:11:08Z
dc.date.available2017-07-18T20:11:08Z
dc.date.issued2015-03en_US
dc.description.abstractWe study instabilities and relaxation to equilibrium in a long-range extension of the Fermi-Pasta-Ulam-Tsingou (FPU) oscillator chain by exciting initially the lowest Fourier mode. Localization in mode space is stronger for the long-range FPU model. This allows us to uncover the sporadic nature of instabilities, i.e., by varying initially the excitation amplitude of the lowest mode, which is the control parameter, instabilities occur in narrow amplitude intervals. Only for sufficiently large values of the amplitude, the system enters a permanently unstable regime. These findings also clarify the long-standing problem of the relaxation to equilibrium in the short-range FPU model. Because of the weaker localization in mode space of this latter model, the transfer of energy is retarded and relaxation occurs on a much longer timescale.en_US
dc.description.departmentPhysicsen_US
dc.description.sponsorshipCNRS (France) EDC25019en_US
dc.description.sponsorshipSRNSF (Georgia)en_US
dc.description.sponsorshipcontract LORIS ANR-10-CEXC-010-01en_US
dc.description.sponsorshipINFNen_US
dc.identifierdoi:10.15781/T26M33K04
dc.identifier.citationMiloshevich, George, Jean-Pierre Nguenang, Thierry Dauxois, Ramaz Khomeriki, and Stefano Ruffo. "Instabilities and relaxation to equilibrium in long-range oscillator chains." Physical Review E 91, no. 3 (2015): 032927.en_US
dc.identifier.doi10.1103/PhysRevE.91.032927en_US
dc.identifier.issn1539-3755en_US
dc.identifier.urihttp://hdl.handle.net/2152/61161
dc.language.isoEnglishen_US
dc.relation.ispartofUT Faculty/Researcher Worksen_US
dc.relation.ispartofserialPhysical Review Een_US
dc.rightsAdministrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University.en_US
dc.rights.restrictionopenen_US
dc.subjectpasta-ulam chainsen_US
dc.subjectinduction phenomenonen_US
dc.subjectfermien_US
dc.subjectenergyen_US
dc.subjectmodelen_US
dc.subjectpropagationen_US
dc.subjectbreathersen_US
dc.subjectlatticeen_US
dc.subjectsystemen_US
dc.titleInstabilities and relaxation to equilibrium in long-range oscillator chainsen_US
dc.typeArticleen_US

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