Thermodynamic hierarchies of evolution equations

Abstract

Non-equilibrium thermodynamics with internal variables introduces a natural hierarchical arrangement of evolution equations. Three examples are shown: a hierarchy of linear constitutive equations in thermodynamic rhelogy with a single internal variable, a hierarchy of wave equations in the theory of generalized continua with dual internal variables and a hierarchical arrangement of the Fourier equation in the theory of heat conduction with current multipliers.

7 pages, 1 figure

References in corpus (1)

• Generalized heat conduction in heat pulse experiments

Cited by in corpus (6)

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• Lagging Heat Models in Thermodynamics and Bioheat Transfer: a Critical Review
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• Novel evaluation method for non-Fourier effects in heat pulse experiments
• Spectral properties of dissipation
• Size effects and beyond-Fourier heat conduction in room-temperature experiments