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Existence of kink solutions in a discrete model of the polyacetylene molecule

dc.contributor.authorSéré, Eric
HAL ID: 171149
dc.contributor.authorArroyo, Mauricio Garcia
dc.date.accessioned2013-01-10T09:52:49Z
dc.date.available2013-01-10T09:52:49Z
dc.date.issued2012
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/10813
dc.language.isoenen
dc.subjectkink solutionsen
dc.subjectheteroclinic solutionsen
dc.subjectvariational methodsen
dc.subjectPeierls instabilityen
dc.subjectPeierls modelen
dc.subjectpolyacetyleneen
dc.subject.ddc520en
dc.titleExistence of kink solutions in a discrete model of the polyacetylene moleculeen
dc.typeDocument de travail / Working paper
dc.description.abstractenThis paper deals with the proof of the existence of kink states in the discrete model of the polyacetylene molecule . We use ideas from Kennedy and Lieb to study finite, odd chains of polyacetylene, and then we consider the limit as the number of atoms goes to infinity. We show that, after extraction of a subsequence and up to a translation, the energy minimizers of odd chains tend to an infinite vector approaching one of the infinite dimerized states at plus infinity and the other one at minus infinity. This state is called a kink and its existence was strongly suggested in several works in the physical literature, but a mathematical proof was missing, to our knowledge.en
dc.publisher.nameUniversité Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages20en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00769075en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.submittednonen


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