Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Kolmogorov scaling for two-particle relative velocity in
  two-dimensional inverse energy-cascade turbulence   Herein,we numerically examine the relative dispersion of Lagrangian particle
pairs in two-dimensional inverse energy-cascade turbulence. Behind the
Richardson-Obukhov $t^3$ law of relative separation, we discover that the
second-order moment of the relative velocity have a temporal scaling exponent
different from the prediction based on the Kolmogorov's phenomenology. The
results also indicate that time evolution of the probability distribution
function of the relative velocity is self-similar. The findings are obtained by
enforcing Richardson-Obukhov law either by considering a special initial
separation or by conditional sampling. In particular, we demonstrate that the
conditional sampling removes the initial-separation dependence of the
statistics of the separation and relative velocity. Furthermore, we demonstrate
that the conditional statistics are robust with respect to the change in the
parameters involved, and that the number of the removed pairs from the sampling
decreases when the Reynolds number increases. We also discuss the insights
gained as a result of conditional sampling.

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The categories of this paper are: cs
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The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga