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Journal of Physical Studies 11(1), 74–88 (2007)
DOI: https://doi.org/10.30970/jps.11.074 A REDUCED DESCRIPTION METHOD IN THE DYNAMIC THEORY OF PARTICLES INTERACTING WITH MEDIUMS. O. Nikolayenko1, Yu. V. Slyusarenko2
1Kharkiv National University, Ukraine
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In our work we consider spatially inhomogeneous states of particles, weakly interacting with hydrodynamic medium involving Bogolubov's reduced description method. It has been shown that such a system has both kinetic and hydrodynamic stages of evolution. On the kinetic stage a one-particle distribution function is a reduced description parameter for particles, and, therefore, a medium is described by five hydrodynamic parameters (density, energy density and velocity). The coupled system of equations of motion for reduced description parameters is obtained. A transition from the kinetic to hydrodynamic stage of evolution for particles interacting with the medium has been also studied using a reduced description method. The hydrodynamic parameters of the medium and the density of particles are chosen as the reduced description parameters. Consequently, a coupled system of equations, which completely describes the evolution of our system on the hydrodynamic stage, has been obtained. These equations can describe such systems as neutrons propagating into the hydrodynamic medium without multiplication and capture.
PACS number(s): 05.20.Dd; 28.20.Gd