Low Temperature Physics: 43, 683 (2017); https://doi.org/10.1063/1.4985987
Fizika Nizkikh Temperatur: Volume 43, Number 6 (June 2017), p. 860-866    ( to contents , go back )

First and second sounds in a degenerate Bose gas

I. Dmytruk, A. Svidzynskiy, and P. Shygorin

Department of Theoretical and Mathematical Physics, Lesya Ukrainka Eastern European National University Lutsk 43025, Ukraine
E-mail: pashyh@gmail.com

Received August 12, 2016, revised November 1, 2016


In this work the propagation of sound waves in a degenerate quantum gas is considered. We modify the Wang Chang and Uhlenbeck method for description of the sounds in a Maxwell gas for the case of a degenerate quantum gas. Using this approach, we constructed a dispersion relation for sound waves in a condensed Bose gas at finite temperatures, and calculate the velocities of first and second sounds in the first approximation. The possibility of the theoretical investigation for sound damping is discussed.

PACS: 03.75.Kk Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow;
PACS: 67.40.Pm Transport processes, second and other sounds, and thermal counterflow; Kapitza resistance;
PACS: 67.57.Jj Collective modes.

Key words: quantum gas, Bose–Einstein condensation, first and second sounds.

Published online: April 25, 2017

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