Markiv B. Statistical description of linear and nonlinear processes in dense gases and liquids by means of the Zubarev nonequilibrium statistical operator method

Research object: simple liquids, dense gases, dusty plasma. Objective: to describe relaxation of nonequilibrium liquid to the state of molecular hydrodynamics; to investigate transport equations within a consistent description of kinetic and hydrodynamic processes in simple fluids and dusty plasma; to obtain the Zubarev nonequilibrium statistical operator in Renyi statistics. Methods: the Zubarev nonequilibrium statistical operator method, maximum entropy principle, method of moments. Results: time correlation functions of liquid relaxing to the state of molecular hydrodynamics are investigated; memory functions within a consistent description of kinetics and hydrodynamics of dense gases are calculated; for the system with interaction potential in the form of hard spheres + smooth tail, spectrum of collective excitations is calculated; transport equations and collective mode spectrum of dusty plasma are obtained; the Zubarev nonequilibrium statistical operator method is generalized for the case of generalized statistics. Implementation: publications in scientific journals. Scope of use: theory of transport processes in fluids and dusty plasma.