Classical Thermosize Effects in Degenerate Quantum Gases

Classical thermosize effects arise due to different transport characteristics of macro and nano parts of a macro/nano combined system. In this paper, classical thermosize effects are considered for Fermi and Bose gases. The Knudsen law is generalized for ideal gases including the quantum ones and some analytical expressions for thermosize effects are obtained for degenerate Fermi and Bose gases. The influence of the quantum degeneracy on the classical thermosize effects are analyzed and the comparison with the results of the Maxwellian case is given. It is seen that degeneration improves the classical thermosize effects for a Bose gas while it deteriorates the effects for a Fermi gas.