arXiv subjects

A. A. Stupka

Publications and source records attributed to A. A. Stupka.

4 recordsLinked to original sources

arXiv2016

Electromagnetic theory of sound and phonons in liquid

Sound waves in and dielectric liquid, that consists of subsystems of valency electrons with effective mass and ions which interact through the long-wave potential electric field are considered, on analogies with and metallic liquid, but with the requirement, that electric current is absent. It is shown that usual description of sound wave in an ideal liquid as wave of mass density and mass velocity follows from the offered consideration. It is also shown that sound waves with other side can be considered as waves of potential electric field in an environment. Introduction of phonons in both cases is considered.

cond-mat.soft↗

arXiv2016

Reduced Description of Stellar Dynamics by Moments of Gravitation Field

Because of absence of time derivatives from scalar potential as a generalized coordinate of gravitation field (GF) in action of nonrelativistic gravitating system, application of the Hamilton method for description of GF mechanics was impossible. In the paper a transformation of the generalized coordinate of GF, that is based on continuity equation and minimal action principle, is proposed. A potential vector is introduced that is similar to fixing of Hamilton gauge of the electromagnetic field. This transformation gives possibility of the calculation a Hamilton function, removes mathematical troubles of the Jeans theory (Jeans swindle) and allows to construct kinetic theory of GF using statistical mechanics methods.

gr-qc↗

arXiv2016

Hydrodynamic modes of conducting liquid in random magnetic field

Hydrodynamics of plasma in the random magnetic field is considered, which is characterized by the second moment of magnetic induction. Equations of ideal magnetic hydrodynamics in such field are received for an adiabatic process. It is shown that in Euler Equation a new variable is second moment of magnetic induction enters, for which is received time Equation on the basis of Maxwell Equations in the magnetohydrodynamic approximation. The one dimension plane waves in this system are studied and the values of their phase velocities are received.

physics.plasm-ph↗

arXiv2016

Gravitation Field Dynamics in Jeans Theory

Closed system of time equations for nonrelativistic gravitation field and hydrodynamic medium was obtained by taking into account binary correlations of the field, which is the generalization of Jeans theory. Distribution function of the systemwas built on the basis of the Bogolyubov reduced description method. Calculations were carried out up to the first order of a perturbation theory in interaction. Adiabatic and enthropic types of perturbations were corrected and two new types of perturbations were found.

gr-qc↗