Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stellar Dynamics of Dense Stellar Systems   Stellar dynamics is almost unreasonably well suited for an implementation in
terms of special-purpose hardware. Unlike the case of molecular dynamics,
stellar dynamics deals exclusively with a long-range force, gravity, which
leads to a computational cost scaling as the square of the number of stars
involved. While special tricks can lead to a reduction of this cost from $\sim
N^2$ to $\sim N\log N$ in the case of very large particle numbers, such tricks
are not suitable for all areas within stellar dynamics. When a stellar system
is close to equilibrium, and has a very high density, it still pays to compute
all interactions on a star by star basis, even for $N=10^5$. Any $cN\log N$
approach would either gloss over the subtle net effects of near-canceling
interactions, driving the evolution of such a system, or would carry a
prohibitively large coefficient $c$. This paper presents a brief introduction
to the stellar dynamics of dense stellar systems, aimed at researchers using
special purpose computers in other branches of physics.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
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The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph