Higher-order Generalized Hydrodynamics: Foundations Within A Nonequilibrium Statistical Ensemble Formalism

dc.creatorSilva
dc.creatorCarlos A. B.; Rodrigues
dc.creatorCloves G.; Galvao Ramos
dc.creatorJ.; Luzzi
dc.creatorRoberto
dc.date2015-Jun
dc.date2016-06-07T13:20:11Z
dc.date2016-06-07T13:20:11Z
dc.date.accessioned2018-03-29T01:40:15Z
dc.date.available2018-03-29T01:40:15Z
dc.identifier
dc.identifierHigher-order Generalized Hydrodynamics: Foundations Within A Nonequilibrium Statistical Ensemble Formalism. Amer Physical Soc, v. 91, p. Jun-2015.
dc.identifier1539-3755
dc.identifierWOS:000356584600008
dc.identifier10.1103/PhysRevE.91.063011
dc.identifierhttp://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.063011
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/242840
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1306538
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConstruction, in the framework of a nonequilibrium statistical ensemble formalism, of a higher-order generalized hydrodynamics, also referred to as mesoscopic hydrothermodynamics, that is, covering phenomena involving motion of fluids displaying variations short in space and fast in time-unrestricted values of Knudsen numbers, is presented. In that way, an approach is provided enabling the coupling and simultaneous treatment of the kinetics and hydrodynamic levels of descriptions. It is based on a complete thermostatistical approach in terms of the densities of matter and energy and their fluxes of all orders covering systems arbitrarily driven away from equilibrium. The set of coupled nonlinear integrodifferential hydrodynamic equations is derived. They are the evolution equations of the Gradlike moments of all orders, derived from a generalized kinetic equation built in the framework of the nonequilibrium statistical ensemble formalism. For illustration, the case of a system of particles embedded in a fluid acting as a thermal bath is fully described. The resulting enormous set of coupled evolution equations is of unmanageable proportions, thus requiring in practice to introduce an appropriate description using the smallest possible number of variables. We have obtained a hierarchy of Maxwell times, associated to the set of all the higher-order fluxes, which have a particular relevance in the process of providing criteria for establishing the contraction of description.
dc.description91
dc.description6
dc.description
dc.description
dc.description
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionBrazilian Technological Institute of Aeronautics
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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dc.description
dc.description
dc.languageen
dc.publisherAMER PHYSICAL SOC
dc.publisher
dc.publisherCOLLEGE PK
dc.relationPHYSICAL REVIEW E
dc.rightsaberto
dc.sourceWOS
dc.subjectGaussian Core Model
dc.subjectMany-body Systems
dc.subjectIii-nitrides
dc.subjectIrreversible Thermodynamics
dc.subjectPolar Semiconductors
dc.subjectNonlinear Transport
dc.subjectAnomalous Diffusion
dc.subjectElectron-mobility
dc.subjectLevy Flight
dc.subjectMechanics
dc.titleHigher-order Generalized Hydrodynamics: Foundations Within A Nonequilibrium Statistical Ensemble Formalism
dc.typeArtículos de revistas


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