A consistent description of kinetics and hydrodynamics of quantum Bose-systems

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.

Modified kinetic theory of Bose systems taking into account slow hydrodynamical processes

“…At transition to quantum Bose liquids, the contribution of collective correlations, which are described by average potential energy of interaction, is more important than one-particle correlations connected with f 1 (q, p; t). From this fact it follows that for consistent description of kinetics and hydrodynamics of Bose liquid, the one-particle nonequilibrium distribution function along with the average potential energy of interaction are necessarily should be chosen as the parameters of the abbreviated description [48,49].…”

“…The infinitesimal source ε in the right-hand side of this equation breaks symmetry of Liouville equation with respect to t → −t and selects retarded solutions (ε → +0 after limiting thermodynamic transition). The quasiequilibrium statistical operator ̺q (t) is determined from the condition of the informational entropy extremum of systems at the conservation of normalization condition Sp ̺q (t) = 1 for fixed values nq (p) t and εint q t [48,49]:…”

“…By means of this formalism the nonequilibrium statistical operator of many-particles Bose system, which consistently describes kinetics and hydrodynamics, is obtained in papers [48,49]. The quantum nonequilibrium one-particle distribution function and the average value of density of interaction potential energy have been selected as parameters of consistent description of a nonequilibrium state.…”

Nonequilibrium statistical operator in the generalized molecular hydrodynamics of fluids

“…The generalized description of kinetic and hydrodynamic processes in the theory of dense gases and liquids was suggested in [47]- [49]. In this approach, the generalized kinetic equations for dense gases and plasma were mainly investigated [50]- [53], and the transition to the state of molecular hydrodynamics was analyzed for simple fluids in [49] and for quantum Bose systems in [54].…”

Неравновесный Статистический Оператор В Обобщенной Молекулярной Гидродинамике Жидкостей

“…Обобщенное описание кинетических и гидродинамических процессов в теории плотных газов и жидкостей было предло-жено в работах [47]- [49]. В этом подходе в основном исследовались обобщенные ки-нетические уравнения для плотных газов и плазмы [50]- [53], а переход к состоянию молекулярной гидродинамики анализировался для простых жидкостей в работе [49] и для квантовых бозе-систем в работе [54].…”