The solution of kinetic equation for the quantum and classical gases with diffusion boundary conditions has been obtained for an arbitrary capillary width d-to-mean free path l ratio. This solution allowed us to obtain analytical expressions describing both the stationary states of the gas filling in two containers connected by a capillary and the thermal slippage effect. The relations obtained have made it possible to observe the transition from the Knudsen regime (d<< l) to the hydrodynamic one (d>> l). This results take into account the influence of statistics and geometry of the capillary as well.Comments: Figs. 0, Refs. 5, Tabs. 0.
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