Journal of Physical Studies 10(1), 12–23 (2006) DOI: https://doi.org/10.30970/jps.10.12 LINEAR FLUCTUATION ELECTRODYNAMICS A. Sokolovsky, A. Stupka Dnipropetrov'k National University, 13 Naukova St., Dnipropetrovs'k, UA-49050, Ukraine

Electromagnetic field, which interacts weakly and slowly with non-relativistic plasma, has been investigated with an accuracy up to the second order in interaction. The investigation was performed on the basis of the Bogoliubov reduced description method that allowed to build a connected system of equations for average field and its binary correlations as new independent variables. In the Maxwell equations and in the corresponding equations for correlations of the field new material coefficients were introduced, which describe the medium only in the terms of spatial dispersion. It was shown that equations for correlations satisfy the Onsager principle. The obtained results are compared with results of self-consistent field approximation built on the basis of the Vlasov equation. A procedure of recalculation of frequency dispersion effects in standard material coefficients of the self-consistent field theory into spatial dispersion was proposed. An equivalence of the both approaches was proved in the leading approximation. Existence of correlation waves, which are not reduced to waves of square average field, was established.

PACS number(s): 05.40.-a, 41.90.+e, 52.35.Lv

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