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On the dynamical anomalies in numerical simulations of selfgravitating systems

L. Velazquez·F. Guzman
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Abstract

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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L. Velazquez, F. Guzman. 2003-03-23. On the dynamical anomalies in numerical simulations of selfgravitating systems. https://arxiv.org/abs/cond-mat/0303492

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