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Reciprocity and consistency in non-local extended thermodynamics

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Open Systems & Information Dynamics

Abstract

Non-local effects in extended thermodynamics can be introduced via an entropy density dependent on spatial derivatives of heat fluxq and viscous pressure. One requires that the time-evolution equation for ∇2 q be calculable from the evolution equation forq, and similarly for pressure. One finds that Cattaneo-Vernotte and Maxwell equations have divergence terms added that violate reciprocity, causing local and non-local models to differ. Coupling between the relaxation ofq and pressure drops out to the order considered.

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  1. Department of Physics, University of the Witwatersrand, 2050, Johannesburg, South Africa

    R. E. Nettleton

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  1. R. E. Nettleton
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Nettleton, R.E. Reciprocity and consistency in non-local extended thermodynamics. Open Syst Inf Dyn 2, 41–47 (1993). https://doi.org/10.1007/BF02228970

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  • DOI: https://doi.org/10.1007/BF02228970

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