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

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 mathemati...

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Bibliographic Details
Main Authors: Valerio Faraoni, Farah Atieh, Steve Dussault
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-020-8292-0