On the evolution of higher order fluxes in non-equilibrium thermodynamics
V. Ciancio, V. A. Cimmelli, P. V\'an
TL;DR
This paper explores how higher order fluxes evolve in non-equilibrium thermodynamics, focusing on the relationship between their evolution equations and entropy currents, with implications for thermodynamic closure.
Contribution
It establishes compatibility conditions and derives thermodynamic closure relations for higher order fluxes in non-equilibrium thermodynamics.
Findings
Identifies the connection between flux evolution equations and entropy currents.
Provides thermodynamic closure relations for higher order fluxes.
Analyzes the compatibility conditions of different thermodynamic theories.
Abstract
The connection between the balance structure of the evolution equations of higher order fluxes and different forms of the entropy current is investigated on the example of rigid heat conductors. Compatibility conditions of the theories are given. Thermodynamic closure relations are derived.
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Taxonomy
TopicsThermoelastic and Magnetoelastic Phenomena · Advanced Thermodynamics and Statistical Mechanics · Fluid Dynamics and Turbulent Flows