Statistical analysis of complex systems with nonclassical invariant measures

Handle URI:
http://hdl.handle.net/10754/552985
Title:
Statistical analysis of complex systems with nonclassical invariant measures
Authors:
Fratalocchi, Andrea ( 0000-0001-6769-4439 )
Abstract:
I 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.
KAUST Department:
PRIMALIGHT Research Group; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Statistical analysis of complex systems with nonclassical invariant measures 2011, 83 (2) Physical Review E
Journal:
Physical Review E
Issue Date:
28-Feb-2011
DOI:
10.1103/PhysRevE.83.021116
ARXIV:
arXiv:1103.1547
Type:
Article
ISSN:
1539-3755; 1550-2376
Additional Links:
http://link.aps.org/doi/10.1103/PhysRevE.83.021116; http://arxiv.org/abs/1103.1547
Appears in Collections:
Articles; PRIMALIGHT Research Group; PRIMALIGHT Research Group; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorFratalocchi, Andreaen
dc.date.accessioned2015-05-17T20:26:24Zen
dc.date.available2015-05-17T20:26:24Zen
dc.date.issued2011-02-28en
dc.identifier.citationStatistical analysis of complex systems with nonclassical invariant measures 2011, 83 (2) Physical Review Een
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.doi10.1103/PhysRevE.83.021116en
dc.identifier.urihttp://hdl.handle.net/10754/552985en
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.en
dc.relation.urlhttp://link.aps.org/doi/10.1103/PhysRevE.83.021116en
dc.relation.urlhttp://arxiv.org/abs/1103.1547en
dc.rightsArchived with thanks to Physical Review Een
dc.titleStatistical analysis of complex systems with nonclassical invariant measuresen
dc.typeArticleen
dc.contributor.departmentPRIMALIGHT Research Groupen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalPhysical Review Een
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartment of Physics, Sapienza University of Rome, P.le A. Moro 2, I-00185 Rome, Italyen
dc.identifier.arxividarXiv:1103.1547en
kaust.authorFratalocchi, Andreaen
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