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Bulletin of the MRSU /
Section "Physics and mathematics" /
2013 № 3.
E.A. Bedrikova, A.V. Latyshev THE KRAMERS PROBLEM FOR QUANTUM BOSEGASES WITH CONSTANT COLLISION FREQUENCY AND SPECULARDIFFUSIVE BOUNDARY CONDITIONS. In: Bulletin of the Moscow Region State University (electronic journal), 2013, no. 3.

UDC Index: 533.72:517.958 
Date of publication: 01.08.2013 


The full text of the article

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Abstract

The Kramers problem for quantum Bosegases with speculardiffuse boundary conditions of the kinetic theory is considered. The Kramers problem is the problem of finding a distribution function of the mass velocity and the sliding velocity of a rarefied gas moving along a flat, solid surface in case when the gas moves along some axis and there is a given gradient of its mass velocity. The solution is received for the semispatial Kramers problem about the isothermal sliding of a monoatomic gas having constant collision frequency and speculardiffusive boundary conditions. The new method of solution of the boundary problems from the kinetic theory is developed. The method allows to receive the solution with any degree of accuracy. At the basis of the method lays the idea of representation of a boundary condition on the distribution function in the form of a source in the kinetic equation. The solution is received in the form of Neumann series.

Key words

quantum Bosegas, Kramers problem, speculardiffusive boundary conditions, Neumann series 
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