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 mathematical prope...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2020-08, Vol.80 (8), p.706-706, Article 706
Main Authors: Faraoni, Valerio, Atieh, Farah, Dussault, Steve
Format: Article
Language:English
Subjects:
Astronomical models
Astronomy
Astrophysics and Cosmology
Cooling
Cosmology
Elementary Particles
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Radiative heat transfer
Regular - Theoretical Physics
Regular Article - Theoretical Physics
String Theory
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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:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-020-8292-0