On the dynamical anomalies in numerical simulations of selfgravitating systems

Details On the dynamical anomalies in numerical simulations of selfgravitating systems On the dynamical anomalies in numerical simulations of selfgravitating systems

2003-03-23

arxiv.org/abs/cond-mat/0303492v1

Physics

Condensed Matter

Statistical Mechanics

RevTex4, 4 pages, no figures

Scientific paper

According to self-similarity hypothesis, the thermodynamic limit could be defined from the scaling laws for the system self-similarity by using the microcanonical ensemble. This analysis for selfgravitating systems yields the following thermodynamic limit: send N to infinity, keeping constant E/N^{(7/3)} and LN^{(1/3)}, in which is ensured the extensivity of the Boltzmann entropy S_{B}=lnW(E,N). It is shown how the consideration of this thermodynamic limit allows us to explain the origin of dynamical anomalies in numerical simulations of selfgravitating systems.

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