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Statistical Mechanics of a Discrete Nonlinear System

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dc.contributor.authorRasmussen, K
dc.contributor.authorCretegny, T
dc.contributor.authorKevrekidis, PG
dc.contributor.departmentUniversity of Massachusetts - Amherst
dc.date2023-09-23T03:00:34.000
dc.date.accessioned2024-04-26T18:37:48Z
dc.date.available2024-04-26T18:37:48Z
dc.date.issued2000-01-01
dc.descriptionThis is the pre-published version harvested from arXiv. The published version is located at
dc.description.abstractStatistical mechanics of the discrete nonlinear Schrödinger equation is studied by means of analytical and numerical techniques. The lower bound of the Hamiltonian permits the construction of standard Gibbsian equilibrium measures for positive temperatures. Beyond the line of T = ∞, we identify a phase transition through a discontinuity in the partition function. The phase transition is demonstrated to manifest itself in the creation of breatherlike localized excitations. Interrelation between the statistical mechanics and the nonlinear dynamics of the system is explored numerically in both regimes.
dc.identifier.urihttps://hdl.handle.net/20.500.14394/34105
dc.relation.ispartofPhysics Review Letters
dc.relation.urlhttps://scholarworks.umass.edu/cgi/viewcontent.cgi?article=2136&context=math_faculty_pubs&unstamped=1
dc.source.issue17
dc.source.issue84
dc.source.statuspublished
dc.subjectPhysical Sciences and Mathematics
dc.titleStatistical Mechanics of a Discrete Nonlinear System
dc.typearticle
dc.typearticle
digcom.contributor.authorRasmussen, K
digcom.contributor.authorCretegny, T
digcom.contributor.authorisAuthorOfPublication|email:kevrekid@math.umass.edu|institution:University of Massachusetts - Amherst|Kevrekidis, PG
digcom.identifiermath_faculty_pubs/1059
digcom.identifier.contextkey1700290
digcom.identifier.submissionpathmath_faculty_pubs/1059
dspace.entity.typePublication
relation.isAuthorOfPublication97bd8a53-35a3-40f5-b764-a518420ea82b
relation.isAuthorOfPublication.latestForDiscovery97bd8a53-35a3-40f5-b764-a518420ea82b
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