Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-09-26
Mon.Not.Roy.Astron.Soc.364:990-1010,2005
Astronomy and Astrophysics
Astrophysics
26 pages, 26 figures, accepted for publication in MNRAS
Scientific paper
10.1111/j.1365-2966.2005.09635.x
In this paper, a quantitative characterization for the evolutionary sequence of stellar self-gravitating system is investigated, focusing on the pre-collapse stage of the long-term dynamical evolution. In particular, we consider the quasi-equilibrium behaviors of the N-body systems in the setup of the so-called Antonov problem, i.e., self-gravitating N-body system confined in an adiabatic wall and try to seek a possible connection with thermostatistics of self-gravitating systems. For this purpose, a series of long-term N-body simulations with various initial conditions are performed. We found that a quasi-equilibrium sequence away from the thermal equilibrium can be characterized by the one-parameter family of the stellar models. Especially, the stellar polytropic distribution satisfying the effective equation of state $P\propto\rho^{1+1/n}$ provides an excellent approximation to the evolutionary sequence of the N-body system. Based on the numerical results, we discuss a link between the quasi-equilibrium state and the generalized thermostatistics by means of the non-extensive entropy.
Sakagami Masa'aki
Taruya Atsushi
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