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A universal phenomenological approach to study evolution of long-wave fluctuations caused by the external random force is developed. The Furutzu–Novikov theorem is generalized for non-Gaussian… (More)

The relaxation of temperatures and velocities of the components of a quasi-equilibrium two-component homogeneous completely ionized plasma is investigated on the basis of a generalization of the… (More)

The hydrodynamics of a completely ionized two-component electron–ion plasma is investigated on the basis of the Landau kinetic equation with account for component temperature and velocity relaxation.… (More)

- A. I. Sokolovsky, Anton Stupka
- 10th International Conference on Mathematical…
- 2004

Closed system of equations for electromagnetic field and hydrodynamic medium (many component plasma) has been obtained taking into account binary fluctuations ofthe field. Statistical operator of the… (More)

The Grad method is generalized based on the Bogolyubov idea of the functional hypothesis for states at the end of relaxation processes in a system. The Grad problem (i.e., description of the Maxwell… (More)

- A. I. Sokolovsky, Anton Stupka
- 12th International Conference on Mathematical…
- 2008

On the basis of the Bogolyubov reduced description method, equations of motion for the description of the electromagnetic field in equilibrium plasma have been obtained. It is shown that these… (More)

- S.F. Lvagushyn, Yu.M. Salyuk, A. I. Sokolovsky
- International Conference on Mathematical Methods…
- 2006

Basic kinetic equation and kinetic equation for the total quasispin of an emitter subsystem have been obtained for the Dicke Hamiltonian modified with terms describing the motion of emitters in the… (More)

A theory of nonequilibrium states of simple classical fluids on the basis of a generalization of the Bogoliubov functional hypothesis is constructed. A hierarchy of kinds of reduced descriptions of… (More)

Landau in his well known work [1] has derived a kinetic equation for completely ionized plasma and solved a problem about temperature relaxation of electron and ion components. According to Landau… (More)