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dc.contributor.authorFratalocchi, Andrea
dc.date.accessioned2015-05-17T20:26:24Z
dc.date.available2015-05-17T20:26:24Z
dc.date.issued2011-02-28
dc.identifier.citationStatistical analysis of complex systems with nonclassical invariant measures 2011, 83 (2) Physical Review E
dc.identifier.issn1539-3755
dc.identifier.issn1550-2376
dc.identifier.pmid21405827
dc.identifier.doi10.1103/PhysRevE.83.021116
dc.identifier.urihttp://hdl.handle.net/10754/552985
dc.description.abstractI investigate the problem of finding a statistical description of a complex many-body system whose invariant measure cannot be constructed stemming from classical thermodynamics ensembles. By taking solitons as a reference system and by employing a general formalism based on the Ablowitz-Kaup-Newell-Segur scheme, I demonstrate how to build an invariant measure and, within a one-dimensional phase space, how to develop a suitable thermodynamics. A detailed example is provided with a universal model of wave propagation, with reference to a transparent potential sustaining gray solitons. The system shows a rich thermodynamic scenario, with a free-energy landscape supporting phase transitions and controllable emergent properties. I finally discuss the origin of such behavior, trying to identify common denominators in the area of complex dynamics.
dc.publisherAmerican Physical Society (APS)
dc.relation.urlhttp://link.aps.org/doi/10.1103/PhysRevE.83.021116
dc.relation.urlhttp://arxiv.org/abs/1103.1547
dc.rightsArchived with thanks to Physical Review E
dc.titleStatistical analysis of complex systems with nonclassical invariant measures
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentPRIMALIGHT Research Group
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalPhysical Review E
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionDepartment of Physics, Sapienza University of Rome, P.le A. Moro 2, I-00185 Rome, Italy
dc.identifier.arxividarXiv:1103.1547
kaust.personFratalocchi, Andrea
dc.versionv1
refterms.dateFOA2018-06-13T12:35:09Z
dc.date.posted2011-03-08


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