Thermal Transport in a Higher-Order Generalized Hydrodynamics
Abstract
Thermal transport in classical fluids is analyzed in terms of a Higher-Order Generalized Hydrodynamics (or Mesoscopic Hydro-Thermodynamics), that is, depending on the evolution of the energy density and its fluxes of all orders. It is derived in terms of a Kinetic Theory based on the Non-Equilibrium Statistical Ensemble Formalism. The general system of coupled evolution equations is derived. Maxwell times - which are of large relevance to determine the character of the motion - are derived. They also have a quite important role for the choice of the contraction of description (limitation in the number of fluxes to be retained) in the study of the hydrodynamic motion. In a description of order 1 it is presented an analysis of the technological process of thermal prototyping.
Cite
@article{arxiv.1907.12978,
title = {Thermal Transport in a Higher-Order Generalized Hydrodynamics},
author = {Cloves G. Rodrigues and Carlos A. B. Silva and Jose Galvao Ramos and Roberto Luzzi},
journal= {arXiv preprint arXiv:1907.12978},
year = {2020}
}