id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_davltpicabhkdjx4nbh4iqh53a	Charlotte Werndl	Mind the Gap: Boltzmannian versus Gibbsian Equilibrium	2017	23	.pdf	application/pdf	6438	684	72	macro-region, the Gibbsian framework associates equilibrium with the stationary probability we present two examples in which Boltzmannian and Gibbsian equilibrium values come apart: macro-state is the observed value in equilibrium. Consider a partition of the unit square (the phase space for one particle) into cells of equal size the macro-state defined by V = 0 is a γ-0-equilibrium, and V = 0 is the Boltzmannian So we find Boltzmannian and Gibbsian equilibrium values that are very different! The Boltzmannian equilibrium macro-state is averages will be different from the Boltzmannian equilibrium values. Consider the baker's gas (Section 3) with an even number of particles with one macro-variable obtained by Gibbs phase space averaging will always be different to the macro-value Boltzmannian equilibrium macro-state is equal to the phase average. In these cases the Gibbsian and Boltzmannian equilibrium states and that the Boltzmannian equilibrium state has the lowest value of the macro-variable.	./cache/work_davltpicabhkdjx4nbh4iqh53a.pdf	./txt/work_davltpicabhkdjx4nbh4iqh53a.txt