https://doi.org/10.1140/epjb/e2016-70386-9
Regular Article
Statistical description of nonequilibrium self-gravitating systems
1 Institute of Physics, National Academy of Science of Ukraine, Prospekt Nauki 46, 03650 Kyiv, Ukraine
2 Bogolyubov Institute for Theoretical Physics of the NAS of Ukraine, Metrolohichna Str. 14-b, 03680 Kyiv, Ukraine
3 Department of Physics, Chungnam National University, 220 Gung-dong, Yuseong-gu, 305-764 Daejeon, Korea
a
e-mail: sergiy.lev@gmail.com
Received: 18 June 2016
Received in final form: 22 August 2016
Published online: 11 January 2017
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2017
