Kinetics of electromagnetic field in nonequilibrium medium

  • S. F. Lyagushyn Oles Honchar Dnipro National University, Dnipro, Ukraine
  • A. I. Sokolovsky Oles Honchar Dnipro National University, Dnipro, Ukraine
  • S. A. Sokolovsky Prydniprovska State Academy of Civil Engineering and Architecture, Dnipro, Ukraine
Keywords: electromagnetic field, two-level atoms, Dicke model, reduced description, Peletminsky-Yatsenko model, current, material equations, correlations of the field


Kinetics of electromagnetic field in noneqilibrim medium of atoms is studied on the basis of the Dicke model. The field is described by average electric and magnetic fields and their binary correlations. The atoms are considered in two-level approximation and assumed to be fixed in the space. States of the medium are described by the energy density. Nonresonant atom-field interaction is accounted phenomenologically. The theory is built on the Bogolyubov idea of the functional hypothesis that is the basis of his method of the reduced description of nonequilibrium processes. The investigation of the system is carried out in the framework of the Peletminsky–Yatsenko model. Atom-field interaction is assumed to be small and is taken into account up to the second contributions in the interaction included. Average electric and magnetic fields satisfy the Maxwell equations. Material equations for them express average current and charge densities through the average field. Evolution equations for the binary correlation of the field are constructed. Material equations for these equations express correlations field-current trough correlations field-field. The time equation for energy density of the medium is obtained. Density evolution is governed by the average field and field correlations. All material coefficients of the system are found.