Abstract:
The kinetic equations for a degenerate, spatially inhomogeneous Bose gas with weak interaction between the particles are used to obtain the hydrodynamic equations of a superfluid liquid with allowance for dissipative processes. Integral equations are found for the distribution function that enable one to determine all the transport coefficients. These equations are used to consider the symmetry principle for the transport coefficients and prove inequalities for them.
Citation:
S. V. Peletminskii, A. I. Sokolovsky, V. S. Shchelokov, “Hydrodynamics of a superfluid bose liquid with allowance for dissipative processes in a model with weak interaction”, TMF, 34:1 (1978), 81–98; Theoret. and Math. Phys., 34:1 (1978), 51–61
\Bibitem{PelSokShc78}
\by S.~V.~Peletminskii, A.~I.~Sokolovsky, V.~S.~Shchelokov
\paper Hydrodynamics of a~superfluid bose liquid with allowance for dissipative processes in a~model with weak interaction
\jour TMF
\yr 1978
\vol 34
\issue 1
\pages 81--98
\mathnet{http://mi.mathnet.ru/tmf2682}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=496296}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 34
\issue 1
\pages 51--61
\crossref{https://doi.org/10.1007/BF01036471}
Linking options:
https://www.mathnet.ru/eng/tmf2682
https://www.mathnet.ru/eng/tmf/v34/i1/p81
This publication is cited in the following 8 articles:
V. N. Gorev, A. I. Sokolovsky, “Corrections to the Landau kinetic equation for a weakly dissipative randomly driven system and the fluctuation-dissipation theorem”, Journal of Mathematical Physics, 60:10 (2019)
Bulakhov M.S. Peletminskii A.S. Peletminskii V S. Slyusarenko V Yu. Sotnikov A.G., “Re-Examining the Quadratic Approximation in Theory of a Weakly Interacting Bose Gas With Condensate: the Role of Nonlocal Interaction Potentials”, J. Phys. B-At. Mol. Opt. Phys., 51:20 (2018), 205302
I. Dmytruk, A. Svidzynskiy, P. Shygorin, “First and second sounds in a degenerate Bose gas”, Low Temperature Physics, 43:6 (2017), 683
A. S. Peletminskii, S. V. Peletminskii, Yu. M. Poluektov, “Ground state and excitations of a Bose-Einstein condensate of atoms and their diatomic bound states”, Low Temperature Physics, 40:6 (2014), 500
A. S. Peletminskii, S. V. Peletminskii, “Principle of stationary action in the theory of superfluid systems with spontaneously broken translational symmetry”, Theoret. and Math. Phys., 160:2 (2009), 1146–1160
Peletminsky, AS, “Variational principle in the spatially periodic Bose condensate theory”, Laser Physics, 12:1 (2002), 162
M. Yu. Kovalevsky, N. M. Lavrinenko, S. V. Peletminskii, A. I. Sokolovsky, “Hydrodynamics of a superfluid with allowance for dissipative processes”, Theoret. and Math. Phys., 50:3 (1982), 296–306
V. A. Krasnikov, “Equations of motion in external fields”, Theoret. and Math. Phys., 39:2 (1979), 462–466
Citation in format AMSBIB
Contact us: