Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Softening for N-Body Halo Simulations   We propose to determine the optimal softening length in N-body halo
simulations by minimizing the ensemble-average acceleration error at a small
radius r0. This strategy ensures that the error never exceeds the optimal value
beyond r0. Furthermore, we derive semi-analytic formulae for calculating the
acceleration error due to the discreteness of particles and softened gravity,
which are validated by direct N-body force calculations. We estimate that
current state-of-the-art halo simulations suffer >~6% acceleration error at 1%
of the halo virial radius. The error grows rapidly toward the center and could
contribute significantly to the uncertainties of inner halo properties.

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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th