Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution of Multi-mass Globular Clusters in Galactic Tidal Field with
  the Effects of Velocity Anisotropy   We study the evolution of globular clusters with mass spectra under the
influence of the steady Galactic tidal field, including the effects of velocity
anisotropy. Similar to single-mass models, velocity anisotropy develops as the
cluster evolves, but the degree of anisotropy is much smaller than isolated
clusters. Except for very early epochs of the cluster evolution, nearly all
mass components become tangentially anisotropic at the outer parts. We have
compared our results with multi-mass, King-Michie models. The isotropic King
model better fits to the Fokker-Planck results because of tangential
anisotropy. However, it is almost impossible to fit the computed density
profiles to the multi-mass King models for all mass components. Thus if one
attempts to derive global mass function based on the observed mass function in
limited radial range using multi-mass King models, one may get somewhat erratic
results, especially for low mass stars. We have examined how the mass function
changes in time. Specifically, we find that the power-law index of the mass
function decreases monotonically with the total mass of the cluster. This
appears to be consistent with the behaviour of the observed slopes of mass
functions for a limited number of clusters, although it is premature to compare
quantitatively because there are other mechanisms in contributing the
evaporation of stars from the clusters. The projected velocity profiles for
anisotropic models with the apocenter criterion for evaporation show
significant flattening toward the tidal radius compared to isotropic model or
anisotropic model with the energy criterion. Such a behaviour of velocity
profile appears to be consistent with the observed profiles of collapsed
cluster M15.

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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an