Philosophy of Science 66 (3):118 (1999)

Authors
Janneke Van Lith
Utrecht University
Abstract
In the usual procedure of deriving equilibrium thermodynamics from classical statistical mechanics, Gibbsian fine-grained entropy is taken as the analogue of thermodynamical entropy. However, it is well known that the fine-grained entropy remains constant under the Hamiltonian flow. In this paper it is argued that we need not search for alternatives for fine-grained entropy, nor do we have to reject Hamiltonian dynamics, in order to solve the problem of the constancy of fine-grained entropy and, more generally, to account for the non-equilibrium part of the laws of thermodynamics. Rather, we have to weaken the requirement that equilibrium be identified with a stationary probability distribution
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DOI 10.1086/392719
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The Origins of Time-Asymmetry in Thermodynamics: The Minus First Law.Harvey R. Brown & Jos Uffink - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (4):525-538.
Boltzmann and Gibbs: An Attempted Reconciliation.D. A. Lavis - 2005 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (2):245-273.
Blur and Perceptual Content.Bence Nanay - 2018 - Analysis 78 (2):254-260.
Ergodic Theory, Interpretations of Probability and the Foundations of Statistical Mechanics.Janneke van Lith - 2001 - Studies in History and Philosophy of Modern Physics 32 (4):581--94.

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