Temperature jump in degenerate quantum gases with the Bogoliubov excitation energy and in the presence of the Bose-Einstein condensate

Abstract

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.

The Kramers problem for quantum bose-gases with constant collision frequency and specular-diffusive boundary conditions

“…Вопросам теории плазмы посвящены наши работы [45]- [57]. В наших работах [58]- [65] были развиты приближенные методы решения граничных задач кинетической теории с зеркально-диффузными граничными условиями.…”

Boundary problems for one-dimensional kinetic equation with constant collision frequency

“…In works [11,12,13] the problem about behaviour of the quantum Boze-gas at low temperatures (similar to the temperature jump problem for electrons in metal) is considered. We used the kinetic equation with excitation fonons agrees to N.N.…”

Boundary problems for the one-dimensional kinetic equation with frequency of collisions, affine depending on the module velocity

“…In works [10,11,12] the problem about behaviour of the quantum Boze-gas at low temperatures (similar to the temperature jump problem for electrons in metal) is considered. We used the kinetic equation with excitation fonons agrees to N.N.…”