Relaxation to the state of molecular hydrodynamics in the generalized hydrodynamics of liquids

Abstract

The problem of relaxation of a nonequilibrium state to the state of molecular hydrodynamics is considered for a classical system of interacting particles using the Zubarev nonequilibrium statistical operator method. The wave-vector and frequency dependencies of the dynamical structure factor and momentum-momentum transverse correlation function are investigated on the basis of the appropriate generalized transport equations. Comparison with the results of molecular hydrodynamics and molecular-dynamics simulations is given and the characteristic time intervals of the studied relaxation processes are determined.

Метод Колективних Змінних В Теорії Нелінійних Флуктуацій З Урахуванням Кінетичних Процесів

“…to already known non-equilibrium states, in particular, those described in the framework of molecular hydrodynamics [2,[30][31][32] in the case of liquids and dense gases. It is important to note that a specific feature of the research of non-equilibrium phenomena in dense gases, liquids, and dense plasma (dust plasma) consists in the consistent description of kinetic and hydrodynamic processes [33][34][35][36][37], as well as in the account for characteristic short-and long-range interactions between the particles in the system.…”

Chain of kinetic equations for the distribution functions of particles in simple liquid taking into account nonlinear hydrodynamic fluctuations

“…The non-equilibrium states of such systems are far from equilibrium. Therefore the study of both the processes establishing the stationary states with characteristic times of life and the relaxation processes to the known equilibrium states, that are described by means of molecular hydrodynamics [21,22,23,24,25], is of great importance. An important feature of theoretical modeling of non-equilibrium phenomena in dense gases, liquids, dense plasmas (dusty plasmas) is a consistent description of kinetic and hydrodynamic processes [25,26,27,28,29] and taking into account the characteristic short and long-range interactions between the particles of the systems.…”