Affordable Access

Access to the full text

Statistical Mesoscopic Hydro-thermodynamics: the Description of Kinetics and Hydrodynamics of Nonequilibrium Processes in Single Liquids

Authors
  • Ramos, José G.1
  • Rodrigues, Clóves G.2
  • Silva, Carlos A. B.3
  • Luzzi, Roberto1
  • 1 Institute of Physics “Gleb Wataghin”, State University of Campinas-Unicamp, Condensed Matter Physics Department, Campinas, SP, 13083-859, Brazil , Campinas (Brazil)
  • 2 Pontifical Catholic University of Goiás, School of Exact Sciences and Computing, Goiânia, Goiás, 74605-010, Brazil , Goiânia (Brazil)
  • 3 Instituto Tecnológico de Aeronáutica, Departamento de Física, São José dos Campos, SP, 12228-901, Brazil , São José dos Campos (Brazil)
Type
Published Article
Journal
Brazilian Journal of Physics
Publisher
Springer US
Publication Date
Jan 31, 2019
Volume
49
Issue
2
Pages
277–287
Identifiers
DOI: 10.1007/s13538-019-00639-8
Source
Springer Nature
Keywords
License
Yellow

Abstract

Hydrodynamics, a term apparently introduced by Daniel Bernoulli (1700–1783) to comprise hydrostatic and hydraulics, has a long history with several theoretical approaches. Here, after a descriptive introduction, we present so-called mesoscopic hydro-thermodynamics, which is also referred to as higher order generalized hydrodynamics, built within the framework of a mechanical-statistical formalism. It consists of a description of the material and heat motion of fluids in terms of the corresponding densities and their associated fluxes of all orders. In this way, movements are characterized in terms of intermediate to short wavelengths and intermediate to high frequencies. The fluxes have associated Maxwell-like times, which play an important role in determining the appropriate contraction of the description (of the enormous set of fluxes of all orders) necessary to address the characterization of the motion in each experimental setup. This study is an extension of a preliminary article: Physical Review E 91, 063011 (2015).

Report this publication

Statistics

Seen <100 times