Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of enhanced dissipation by shear flows on transient relaxation
  and probability density function in two dimensions   We report a non-perturbative study of the effects of shear flows on
turbulence reduction in a decaying turbulence in two dimensions. By considering
different initial power spectra and shear flows (zonal flows, combined zonal
flows and streamers), we demonstrate how shear flows rapidly generate small
scales, leading to a fast damping of turbulence amplitude. In particular, a
double exponential decrease in turbulence amplitude is shown to occur due to an
exponential increase in wavenumber. The scaling of the effective dissipation
time scale $\tau_{e}$, previously taken to be a hybrid time scale $\tau_{e}
\propto \tau_{\Omega}^{{2/3}} \tau_{\eta}$, is shown to depend on types of
depend on the type of shear flow as well as the initial power spectrum. Here,
$\tau_{\Omega}$ and $\tau_{\eta}$ are shearing and molecular diffusion times,
respectively. Furthermore, we present time-dependent Probability Density
Functions (PDFs) and discuss the effect of enhanced dissipation on PDFs and a
dynamical time scale $\tau(t)$, which represents the time scale over which a
system passes through statistically different states.

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The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg