On the dynamical anomalies in numerical simulations of selfgravitating systems

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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 SB=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.