Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The mean surface density of companions in a stellar-dynamical context   Applying the mean surface density of companions, Sigma(r), to the dynamical
evolution of star clusters is an interesting approach to quantifying structural
changes in a cluster. It has the advantage that the entire density structure,
ranging from the closest binary separations, over the core-halo structure
through to the density distribution in moving groups that originate from
clusters, can be analysed coherently as one function of the stellar separations
r.
  This contribution assesses the evolution of Sigma(r) for clusters with
different initial densities and binary populations. The changes in the binary,
cluster and halo branches as the clusters evolve are documented using direct
N-body calculations, and are correlated with the cluster core and half-mass
radius. The location of breaks in the slope of Sigma(r) and the possible
occurrence of a binary gap can be used to infer dynamical cluster properties.

9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat