Equations of Electrodynamics in a Hydrodynamic Medium with Regard for Nonequilibrium Fluctuations

Abstract

We investigate the kinetics of the electromagnetic field in a hydrodynamic medium containing charged particles. A closed system of equations of the electromagnetic field and hydrodynamic equations taking into account dissipative processes is constructed. To describe the electromagnetic field, we use its average values and the corresponding binary correlation functions as new independent variables. The reverse influence of the field on the medium is studied. The investigation is based on quasirelativistic quantum electrodynamics in the Hamilton gauge and on the Bogolyubov method of reduced description of nonequilibrium processes.

Description of Field States with Correlation Functions and Measurements in Quantum Optics

“…The problem for plasma medium in terms of hydrodynamic states has been investigated in (Sokolovsky & Stupka, 2005 …”

Waves of Electromagnetic Field Correlations in Hydrodynamic Plasma

“…Gradients in (3) is considered as enough small, that allows to use only the leading approximation for statistical operator of the system constructed in [1]. Electromagnetic contribution to statistical operator of the system of the first order in interaction is given by the formula …”

“…(4) (all the notation here is described in [1]). This statement is based on a comparison of terms containing sound and light velocities.…”

“…In this paper our consideration follows to [1]. The accented attention is paid to the study of the influence of binary correlations of the field on dynamics of the system.…”

“…Introducing Z we extract from the corresponding coefficients multiplayer k[1]. In the further consideration a classic ideal gas model for plasma is used.…”