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Effect of discrete breathers on macroscopic properties of the Fermi-Pasta-Ulam chain

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dc.contributor.authorKorznikova, E. A.
dc.contributor.authorMorkina, A. Y.
dc.contributor.authorSingh, M.
dc.contributor.authorKrivtsov, A. M.
dc.contributor.authorGani, V. A.
dc.contributor.authorГани, Вахид Абдулович
dc.date.accessioned2024-11-26T14:29:48Z
dc.date.available2024-11-26T14:29:48Z
dc.date.issued2020
dc.description.abstract© 2020, EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature.Abstract: The effect of discrete breathers (DBs) on macroscopic properties of the Fermi-Pasta-Ulam chain with symmetric and asymmetric potentials is investigated. The total to kinetic energy ratio (related to specific heat), stress (related to thermal expansion), and Young’s modulus are monitored during the development of modulational instability of the zone boundary mode. The instability results in the formation of chaotic DBs followed by the transition to thermal equilibrium when DBs disappear due to energy radiation in the form of small-amplitude phonons. It is found that DBs reduce the specific heat for all the considered chain parameters. They increase the thermal expansion when the potential is asymmetric and, as expected, thermal expansion is not observed in the case of symmetric potential. The Young’s modulus in the presence of DBs is smaller than in thermal equilibrium for the symmetric potential and for the potential with a small asymmetry, but it is larger than in thermal equilibrium for the potential with greater asymmetry. Our results can be useful for setting experiments on the identification of DBs in crystals by measuring their macroscopic properties. Graphical abstract: [Figure not available: see fulltext.].
dc.identifier.citationEffect of discrete breathers on macroscopic properties of the Fermi-Pasta-Ulam chain / Korznikova, E.A. [et al.] // European Physical Journal B. - 2020. - 93. - № 7. - 10.1140/epjb/e2020-10173-7
dc.identifier.doi10.1140/epjb/e2020-10173-7
dc.identifier.urihttps://www.doi.org/10.1140/epjb/e2020-10173-7
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85086995153&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000546187200003
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/21967
dc.relation.ispartofEuropean Physical Journal B
dc.titleEffect of discrete breathers on macroscopic properties of the Fermi-Pasta-Ulam chain
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue7
oaire.citation.volume93
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relation.isAuthorOfPublication.latestForDiscovery3af66a9a-639f-4843-aa2c-2d3c8219e8bd
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