Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discreteness effects, $N-$body chaos and the onset of radial-orbit
  instability   We study the stability of a family of spherical equilibrium models of
self-gravitating systems, the so-called $\gamma-$models with Osipkov-Merritt
velocity anisotropy, by means of $N-$body simulations. In particular, we
analyze the effect of self-consistent $N-$body chaos on the onset of
radial-orbit instability (ROI). We find that degree of chaoticity of the system
associated to its largest Lyapunov exponent $\Lambda_{\rm max}$ has no
appreciable relation with the stability of the model for fixed density profile
and different values of radial velocity anisotropy. However, by studying the
distribution of the Lyapunov exponents $\lambda_{\rm m}$ of the individual
particles in the single-particle phase space, we find that more anisotropic
systems have a larger fraction of orbits with larger $\lambda_{\rm m}$.

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The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs