Abstract
A consistent approach to the description of kinetics and hydrodynamics of many-Boson systems is proposed. The generalized transport equations for strongly and weakly nonequilibrium Bose systems are obtained. Here we use the method of nonequilibrium statistical operator by D.N. Zubarev. New equations for the time distribution function of the quantum Bose system with a separate contribution from both the kinetic and potential energies of particle interactions are obtained. The generalized transport coefficients are determined accounting for the consistent description of kinetic and hydrodynamic processes.
Highlights
The theoretical investigation of nonequilibrium properties of vapour helium and their change at transition with the decrease of the temperature lower than Tc = 4.2 K in a fluid state HeI, and lower than Tλ = 2.17 K in a liquid state HeII that is characterized by superfluidity, remains an urgent issue in the modern statistical theory of nonequilibrium processes of quantum systems
In this work we have introduced the statistical approach of a consistent description of kinetic and hydrodynamic processes for quantum Bose system far from a point of phase transition
For this purpose we used a method of nonequilibrium statistical operator by D.Zubarev
Summary
For normal Bose systems, the calculations of the collective mode spectrum (without accounting for a thermal mode), dynamic structure factor, kinetic transport coefficients [9, see the reference] are carried out based on the hydrodynamic or kinetic approaches. These results are valid only in the hydrodynamic area (i.e., small values of wave vector k and frequency ω). The closed system of the equations for time correlation functions is obtained using the Markovian approximation for transport kernels Using these equations the analysis of dynamic properties of semiquantum helium is carried out at two values of temperature above the transition to a superfluid state. The dynamic structure factor of the system as well as the time correlation functions related to momentum and energy fluctuations are determined
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