Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong turbulent convection: distributed chaos and large-scale
  circulation   Two types of spontaneous breaking of the space translational symmetry in
distributed chaos have been considered for turbulent thermal convection at
large values of Rayleigh number. First type is related to boundaries and second
type is related to appearance of inertial range of scales. The first type is
dominated by vorticity correlation integral: $\int_{V} \langle {\boldsymbol
\omega} ({\bf x},t) \cdot {\boldsymbol \omega} ({\bf x} + {\bf r},t)
\rangle_{V} d{\bf r}$ and is characterized by stretched exponential spectrum
$\exp-(k/k_{\beta})^{\beta }$ with $\beta =1/2$. The second type is dominated
by energy correlation integral: $\int_{V} \langle {\bf u}^2 ({\bf x},t) ~ {\bf
u}^2({\bf x} + {\bf r},t) \rangle_{V} d{\bf r}$ and is characterized by $\beta
=3/5$. Good agreement has been established with laboratory experimental data
obtained at large values of Rayleigh number $Ra \sim 10^{11}-10^{14}$ (the
range relevant to solar photosphere) in upright cylinder cells. Taylor
hypothesis transforms the wavenumber spectrum into frequency spectrum
$\exp-(f/f_{\beta})^{1/2}$. It is shown that turnover frequency of large-scale
circulation (wind): $f_w = f_{\beta}/2$. Results of an experiment in horizontal
cylinder are also briefly discussed. The analysis suggests that in this case
the large-scale circulation can be considered as a natural (harmonic) part of
the distributed chaos.

8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con