Statistical description of nonequilibrium self-gravitating systems

Sergiy B. Lev () and Bohdan I. Lev
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Sergiy B. Lev: Institute of Physics, National Academy of Science of Ukraine
Bohdan I. Lev: Bogolyubov Institute for Theoretical Physics of the NAS of Ukraine

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 1, 1-9

Abstract: Abstract Self-gravitating systems are non-equilibrium a priori. A new approach is proposed, which employs a non-equilibrium statistical operator that takes account inhomogeneous distribution of particles and temperature. The method involves a saddle-point procedure to find the dominant contributions to the partition function, thus obtaining all thermodynamic parameters of the system. Probable peculiar features in the behavior of the self-gravitating systems are considered for various conditions. The equation of state for self-gravitating systems has been determined. A new length of the statistical instability is obtained for a real gravitational system, as are parameters of the spatially inhomogeneous distribution of particles and temperature.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2016-70386-9

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