title: Maxwell times in higher-order generalized hydrodynamics: Classical fluids, and carriers and phonons in semiconductors.
abstract: A family of what can be so-called Maxwell times which arises in the context of higher-order generalized hydrodynamics (HOGH; also called mesoscopic hydrothermodynamics) is evidenced. This is done in the framework of a HOGH built within a statistical formalism in terms of a nonequilibrium statistical ensemble formalism. It consists in a description in terms of the densities of particles and energy and their fluxes of all orders, with the motion described by a set of coupled nonlinear integro-differential equations involving them. These Maxwell times have a fundamental role in determining the type of hydrodynamic motion that the system would display in the given conditions and constraints. They determine a Maxwell viscous force not present in the usual hydrodynamic equations, for example, in Navier-Stokes equation.
authors.affiliation: Escola de Ciências Exatas e da Computação, Pontifícia Universidade Católica de Goiás, Goiânia, Goiás 74605-010, Brazil.
authors.forename: Clóves G
authors.initials: CG
authors.lastname: Rodrigues
authors.affiliation: Instituto Tecnológico de Aeronáutica, São José dos Campos, São Paulo 12228-901, Brazil.
authors.forename: Carlos A B
authors.initials: CA
authors.lastname: Silva
authors.affiliation: Condensed Matter Physics Department, Institute of Physics "Gleb Wataghin" State University of Campinas-Unicamp, Campinas, São Paulo 13083-859, Brazil.
authors.forename: José G
authors.initials: JG
authors.lastname: Ramos
authors.affiliation: Condensed Matter Physics Department, Institute of Physics "Gleb Wataghin" State University of Campinas-Unicamp, Campinas, São Paulo 13083-859, Brazil.
authors.forename: Roberto
authors.initials: R
authors.lastname: Luzzi