Cosmological analogies, Lagrangians, and symmetries for convective-radiative heat transfer
arXiv:2007.12039 · doi:10.1140/epjc/s10052-020-8292-0
Abstract
A formal analogy between the Friedmann equation of relativistic cosmology and models of convective-radiative cooling/heating of a body (including Newton's, Dulong-Petit's, Newton-Stefan's laws, and a generalization) is discussed. The analogy highlights Lagrangians, symmetries, and mathematical properties of the solutions of these cooling laws.
arXiv comment16 pages, to appear in Eur. Phys. J. C
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