Quasi-Equilibrium Evolution in Self-Gravitating N-Body Systems(COMPLEXITY AND NONEXTENSIVITY:NEW TRENDS IN STATISTICAL MECHANICS)

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In this paper, a quantitative characterization of the evolutionary sequences of self-gravitating system is investigated from a thermostatistical point of view. With a particular attention to the pre-collapse stage of long-term dynamical evolution, we focus on the quasi-equilibrium behavior 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. After addressing the quilibrium properties of self-gravitating systems by means of the generalized entropy, a series of N-body simulation were performed starting with various initial distributions. We found that quasi-equilibrium evolution appears for certain initial conditions away from the thermal equilibrium. The quasi-equilibrium states can be approximately described by the one-parameter family of the stellar models, i.e., stellar polytropic distribution satisfying the effective equation of state P ∝ ρ^<1+1/n>, which might be regarded as an extremum state of the generalized non-extensive entropy.
理論物理学刊行会の論文
2006-06-05