%0 Book Section %1 statphys23_0280 %A Sokolovsky, A.I. %A Stupka, A.A. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K bogolyubov corrections correlations description dispersion electromagnetic field laws method reduced statphys23 to topic-1 %T Nonrelativistic Kinetic Theory of Electromagnetic Field in Medium %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=280 %X Nonrelativistic system of charged particles and electromagnetic field is studied. Electromagnetic interaction is considered as a slow process and estimated as the plasma frequency. Evolution of the field has been described in equilibrium, hydrodynamic and kinetic media on the basis of the Bogolyubov reduced description method and his condition of the complete correlation weakening between the field and medium. The field is described by its average value (transversal and longitudinal) and spatial binary (and higher) correlations. Operators corresponding to these parameters satisfy the Peletminsky-Yatsenko condition. Closed systems of time equations for the considered variables (fluctuation electrodynamics) in mentioned media have been obtained. Waves of correlations, which depend on two wave vectors, were considered. Instead of binary correlation functions the field can be described by normal and anomalous photon Wigner distribution functions. In the case of weak non-uniform states description of correlations only by the normal distribution function is possible. In this case and assuming quasi-homogeneity of the field radiation transport equations and radiation hydrodynamics equations were obtained. On the basis of complete description of the field by its statistical operator effective Hamiltonian of the field is defined and dressed photons and plasmons, which correspond to normal modes of the Hamiltonian, are introduced. The considered theory corresponds to the Vlasov theory for wave length smaller than the Debye radius. Nonrelativistic time equation for generating functional of all the correlations of the field in equilibrium medium is built too. The stationary solution of this equation has been found. Equation for generating functional, taking into account correlation moments, gives a generalization of usual nonlinear electrodynamics. On the basis of equations for the second moments the Rayleigh scattering was studied too. Dynamics of spatially uniform and isotropic electromagnetic field, which is described only by its binary correlations, has been studied. Closed system of equations of many-component hydrodynamic or kinetics plasma and fluctuation electrodynamics has been also obtained. Oscillations of subsystem energies in uniform and isotropic case are predicted. Dynamics of system consisting of hydrodynamic ions, equilibrium electrons and longitudinal electric field has been studied. In the cases of zero and long radius correlations corrections to dispersion laws for sound, plasma waves and for waves of correlations due to the interaction between subsystems are obtained.

@incollection{statphys23_0280, abstract = {Nonrelativistic system of charged particles and electromagnetic field is studied. Electromagnetic interaction is considered as a slow process and estimated as the plasma frequency. Evolution of the field has been described in equilibrium, hydrodynamic and kinetic media on the basis of the Bogolyubov reduced description method and his condition of the complete correlation weakening between the field and medium. The field is described by its average value (transversal and longitudinal) and spatial binary (and higher) correlations. Operators corresponding to these parameters satisfy the Peletminsky-Yatsenko condition. Closed systems of time equations for the considered variables (fluctuation electrodynamics) in mentioned media have been obtained. Waves of correlations, which depend on two wave vectors, were considered. Instead of binary correlation functions the field can be described by normal and anomalous photon Wigner distribution functions. In the case of weak non-uniform states description of correlations only by the normal distribution function is possible. In this case and assuming quasi-homogeneity of the field radiation transport equations and radiation hydrodynamics equations were obtained. On the basis of complete description of the field by its statistical operator effective Hamiltonian of the field is defined and dressed photons and plasmons, which correspond to normal modes of the Hamiltonian, are introduced. The considered theory corresponds to the Vlasov theory for wave length smaller than the Debye radius. Nonrelativistic time equation for generating functional of all the correlations of the field in equilibrium medium is built too. The stationary solution of this equation has been found. Equation for generating functional, taking into account correlation moments, gives a generalization of usual nonlinear electrodynamics. On the basis of equations for the second moments the Rayleigh scattering was studied too. Dynamics of spatially uniform and isotropic electromagnetic field, which is described only by its binary correlations, has been studied. Closed system of equations of many-component hydrodynamic or kinetics plasma and fluctuation electrodynamics has been also obtained. Oscillations of subsystem energies in uniform and isotropic case are predicted. Dynamics of system consisting of hydrodynamic ions, equilibrium electrons and longitudinal electric field has been studied. In the cases of zero and long radius correlations corrections to dispersion laws for sound, plasma waves and for waves of correlations due to the interaction between subsystems are obtained.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Sokolovsky, A.I. and Stupka, A.A.}, biburl = {https://www.bibsonomy.org/bibtex/2b1f9d68207fba618a217b520e39e1a57/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {2ba92ee3c645963e333dd9edbb67aa79}, intrahash = {b1f9d68207fba618a217b520e39e1a57}, keywords = {bogolyubov corrections correlations description dispersion electromagnetic field laws method reduced statphys23 to topic-1}, month = {9-13 July}, timestamp = {2007-06-20T10:16:16.000+0200}, title = {Nonrelativistic Kinetic Theory of Electromagnetic Field in Medium}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=280}, year = 2007 }