On the dynamical anomalies in numerical simulations of selfgravitating systems
Statistical Mechanics
2007-05-23 v1 Astrophysics
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.
Keywords
Cite
@article{arxiv.cond-mat/0303492,
title = {On the dynamical anomalies in numerical simulations of selfgravitating systems},
author = {L. Velazquez and F. Guzman},
journal= {arXiv preprint arXiv:cond-mat/0303492},
year = {2007}
}
Comments
RevTex4, 4 pages, no figures