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Statistical description of nonequilibrium self-gravitating systems

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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.

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Authors and Affiliations

  1. Institute of Physics, National Academy of Science of Ukraine, Prospekt Nauki 46, 03650, Kyiv, Ukraine

    Sergiy B. Lev

  2. Bogolyubov Institute for Theoretical Physics of the NAS of Ukraine, Metrolohichna Str. 14-b, 03680, Kyiv, Ukraine

    Bohdan I. Lev

  3. Department of Physics, Chungnam National University, 220 Gung-dong, Yuseong-gu, 305-764, Daejeon, Korea

    Bohdan I. Lev

Authors
  1. Sergiy B. Lev
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  2. Bohdan I. Lev
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Correspondence to Sergiy B. Lev.

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Lev, S.B., Lev, B.I. Statistical description of nonequilibrium self-gravitating systems. Eur. Phys. J. B 90, 3 (2017). https://doi.org/10.1140/epjb/e2016-70386-9

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  • DOI: https://doi.org/10.1140/epjb/e2016-70386-9

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