id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_nlbojvgckvd7hm5oz7sq4kgu7y	David A. Lavis	Boltzmann, Gibbs, and the Concept of Equilibrium	2008	15	.pdf	application/pdf	5980	573	72	measured by the Boltzmann entropy and by introducing the idea of thermodynamic-like mechanics is an ensemble of systems, and the Gibbs entropy is a functional Boltzmann entropy at a particular point in phase space is a measure of time evolution of entropy, including 'the approach to equilibrium'. At the statistical level (in the Gibbs approach), the phase point x � phase point spends more time than in any other macrostate and, if the I have already argued in Section 2.1 that commonness or 'equilibriumness' is a matter of degree, and it is clear that thermodynamic-like behavior can be assessed at an instant of time, whereas thermodynamic-like behavior is a temporally global property assessed over the whole trajectory. . However, of course, the Kac ring, although not ergodic, gives0.999(s )B Max ergodic systems (Vranas 1998) show increasingly thermodynamic-like behavior with decreasing .� the case of the Boltzmann entropy, which is both a phase function and	./cache/work_nlbojvgckvd7hm5oz7sq4kgu7y.pdf	./txt/work_nlbojvgckvd7hm5oz7sq4kgu7y.txt