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Rethinking Boltzmannian Equilibrium

Published online by Cambridge University Press:  01 January 2022

Charlotte Werndl  and
Roman Frigg
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Abstract

Boltzmannian statistical mechanics partitions the phase space of a system into macroregions, and the largest of these is identified with equilibrium. What justifies this identification? Common answers focus on Boltzmann’s combinatorial argument, the Maxwell-Boltzmann distribution, and maximum entropy considerations. We argue that they fail and present a new answer. We characterize equilibrium as the macrostate in which a system spends most of its time and prove a new theorem establishing that equilibrium thus defined corresponds to the largest macroregion. Our derivation is completely general and does not rely on assumptions about the dynamics or interparticle interactions.

Type
Classical Physics
Information
Philosophy of Science , Volume 82 , Issue 5 , December 2015 , pp. 1224 - 1235
Copyright
Copyright © The Philosophy of Science Association

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