Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Clump mass function at an early stage of molecular cloud evolution: I. A
  statistical approach   We derive the mass function of condensations (clumps) which were formed
through a turbulent cascade over a range of spatial scales $L\le20$ pc during
early, predominantly turbulent evolution of a molecular cloud. The approach
rests upon the assumption of a statistical clump mass-density relationship
$n\propto m^x$ with a scale dependence of the exponent $x$ obtained from
equipartition relations between various forms of energy of clumps. The derived
clump mass function (ClMF) could be represented by series of 2 or 3 power laws,
depending on the chosen equipartition relation, the velocity scaling index and
the type of turbulent forcing. The high-mass ClMF exhibits an average slope
$\Gamma\simeq-1$, typical for fractal clouds, whereas its intermediate-mass
part is shallower or flattened, in agreement with some observational studies.

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The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th