Abstract
The time evolution of the number of molecules inside any subvolume of a vessel containing a gas which is initially not uniformly distributed, is analysed. The method is based on the substitution of the equilibrium probability distribution characterising the gas in the stationary solution of the Fokker-Planck equation. Two pedagogically interesting cases-the ideal gas (binomial distribution) and the lattice gas (hypergeometric distribution)-are considered. In the context of the grand canonical ensemble, the method enables one to obtain the Fick law of diffusion in a rather nice pedagogical fashion.
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