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Maxwell Times in Higher-Order Generalized Hydrodynamics: Classical\n Fluids, and Carriers and Phonons in Semiconductors

2015/05/19 by Clóves Gonçalves Rodrigues, Carlos Alberto Brito da Silva Júnior, Rodrigues, Clóves G. +5
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1507.00289

openalex publication_date 2015/05/19 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

A family of the so-called Maxwell times which arises in the contexto of\nHigher-Order Generalized Hydrodynamics (also called Mesoscopic\nHydro-Thermodynamics) is evidenced. This is done in the framework of a HOGH\nbuild within a statistical foundation in terms of a Non-Equilibrium Statistical\nEnsemble Formalism. It consists in a description in terms of the densities of\nparticles and energy and their fluxes of all orders, with the motion described\nby a set of coupled nonlinear integro-differential equations involving them.\nThese Maxwell Times have a fundamental role in determining the type of\nhydrodynamic motion that the system would display in the given condition and\nconstraints. The different types of motion are well described by contractions\nof the full description done in terms of a reduced number of fluxes up to a\ncertain order.\n

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