Abstract

This article presents a generalization of the Ehrenfest urn model in order to obtain the time evolution of the number of molecules n(t) in any subvolume V of a vessel V0 containing N molecules of a gas. The formalism makes use of the equilibrium (stationary) probability distribution PN(n,V,V0)≡P0(n) characterizing the gas. Two cases of pedagogical value, the ideal gas (binomial distribution) and the lattice gas (hypergeometric distribution) are considered.

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