Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power-law distributions of particle concentration in free-surface flows   Particles floating on the surface of a turbulent incompressible fluid
accumulate along string-like structures, while leaving large regions of the
flow domain empty. This is reflected experimentally by a very peaked
probability distribution function of $c_r$, the coarse-grained particle
concentration at scale $r$, around $c_r = 0$, with a power-law decay over two
decades of $c_r$, $\Pi (c_r) \propto c_r^{-\beta_r}$. The positive exponent
$\beta_r$ decreases with scale in the inertial range, and stays approximately
constant in the dissipative range, thus indicating a qualitative difference
between the dissipative and the inertial ranges of scales, also visible in the
first moment of $c_r$.

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The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn