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A mathematical proof of the zeroth “law” of thermodynamics and the nonlinear Fourier “law” for heat flow

Evans, Denis J.; Williams, Stephen R.; Rondoni, Lamberto


What is now known as the zeroth "law" of thermodynamics was first stated by Maxwell in 1872: at equilibrium, "Bodies whose temperatures are equal to that of the same body have themselves equal temperatures." In the present paper, we give an explicit mathematical proof of the zeroth "law" for classical, deterministic, T-mixing systems. We show that if a body is initially not isothermal it will in the course of time (subject to some simple conditions) relax to isothermal equilibrium where all...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: The Journal of Chemical Physics
DOI: 10.1063/1.4766734


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