Cosmological analogies, Lagrangians, and symmetries for convective-radiative heat transfer

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 mat...

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Bibliographic Details
Published in:arXiv.org 2020-07
Main Authors: Faraoni, Valerio, Atieh, Farah, Dussault, Steve
Format: Article
Language:English
Subjects:
Astronomical models
Cooling
Cosmology
Radiative heat transfer
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2007.12039