Temperature jump in degenerate quantum gases with the~Bogoliubov excitation energy and in the~presence of the~Bose--Einstein condensate
Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 1, pp. 145-159
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We construct a linearized kinetic equation modeling the behavior of degenerate quantum Bose gases with the collision rate dependent on the momentum of elementary excitations. We consider the general case where the energy of elementary excitations depends on the momentum according to the Bogoliubov formula. We analytically solve the half-space boundary value problem of the temperature jump at the boundary of the degenerate Bose gas in the presence of the Bose–Einstein condensate. We obtain an expression for the Kapitza resistance.
Keywords:
degenerate quantum Bose gas, Bose–Einstein condensate, temperature jump, collision integral.
@article{TMF_2010_165_1_a8,
author = {A. V. Latyshev and A. A. Yushkanov},
title = {Temperature jump in degenerate quantum gases with {the~Bogoliubov} excitation energy and in the~presence of {the~Bose--Einstein} condensate},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {145--159},
publisher = {mathdoc},
volume = {165},
number = {1},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2010_165_1_a8/}
}
TY - JOUR AU - A. V. Latyshev AU - A. A. Yushkanov TI - Temperature jump in degenerate quantum gases with the~Bogoliubov excitation energy and in the~presence of the~Bose--Einstein condensate JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2010 SP - 145 EP - 159 VL - 165 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2010_165_1_a8/ LA - ru ID - TMF_2010_165_1_a8 ER -
%0 Journal Article %A A. V. Latyshev %A A. A. Yushkanov %T Temperature jump in degenerate quantum gases with the~Bogoliubov excitation energy and in the~presence of the~Bose--Einstein condensate %J Teoretičeskaâ i matematičeskaâ fizika %D 2010 %P 145-159 %V 165 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2010_165_1_a8/ %G ru %F TMF_2010_165_1_a8
A. V. Latyshev; A. A. Yushkanov. Temperature jump in degenerate quantum gases with the~Bogoliubov excitation energy and in the~presence of the~Bose--Einstein condensate. Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 1, pp. 145-159. http://geodesic.mathdoc.fr/item/TMF_2010_165_1_a8/