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• W4386119848 abstract "In this paper, we ask ourselves how non-local effects affect the description of thermodynamic systems with internal variables. Usually, one assumes that the internal variables are local, but that their evolution equations are non-local, i.e., for instance, that their evolution equations contain non-local differential terms (gradients, Laplacians) or integral terms with memory kernels. In contrast to this typical situation, which has led to substantial progress in several fields, we ask ourselves whether in some cases it would be convenient to start from non-local internal variables with non-local evolution equations. We examine this point by considering three main lengths: the observation scale R defining the elementary volumes used in the description of the system, the mean free path l of the microscopic elements of the fluid (particles, phonons, photons, and molecules), and the overall characteristic size L of the global system. We illustrate these ideas by considering three-dimensional rigid heat conductors within the regime of phonon hydrodynamics in the presence of thermal vortices. In particular, we obtain a generalization of the Guyer–Krumhansl equation, which may be of interest for heat transport in nanosystems or in systems with small-scale inhomogeneities." @default.
• W4386119848 created "2023-08-25" @default.
• W4386119848 creator A5008442878 @default.
• W4386119848 creator A5085750767 @default.
• W4386119848 date "2023-08-24" @default.
• W4386119848 modified "2023-10-17" @default.
• W4386119848 title "Non-Local Vectorial Internal Variables and Generalized Guyer-Krumhansl Evolution Equations for the Heat Flux" @default.
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• W4386119848 doi "https://doi.org/10.3390/e25091259" @default.
• W4386119848 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/37761558" @default.
• W4386119848 hasPublicationYear "2023" @default.
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