$N$-body chaos and the continuum limit in numerical simulations of self-gravitating systems, revisited. (arXiv:1901.08981v1 [astro-ph.GA])
<a href="http://arxiv.org/find/astro-ph/1/au:+Cintio_P/0/1/0/all/0/1">Pierfrancesco Di Cintio</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Casetti_L/0/1/0/all/0/1">Lapo Casetti</a>
We revise the r^{o}le of discreteness and chaos in the dynamics of
self-gravitating systems by means of $N$-body simulations with active and
frozen potentials, starting from spherically symmetric stationary states and
considering the orbits of single particles as well as the orbits of the system
in the full $2N$-dimensional phase space. We investigate the dependence on $N$
of the largest Lyapunov exponent both of single particle orbits and of the full
$N$-body system. We also show that the use of frozen $N$-body potentials may be
misleading in certain cases.
We revise the r^{o}le of discreteness and chaos in the dynamics of
self-gravitating systems by means of $N$-body simulations with active and
frozen potentials, starting from spherically symmetric stationary states and
considering the orbits of single particles as well as the orbits of the system
in the full $2N$-dimensional phase space. We investigate the dependence on $N$
of the largest Lyapunov exponent both of single particle orbits and of the full
$N$-body system. We also show that the use of frozen $N$-body potentials may be
misleading in certain cases.
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