Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aspect ratio dependence of charge transport in turbulent
  electroconvection   We present measurements of the normalized charge transport or Nusselt number
$\rm Nu$ as a function of the aspect ratio $\Gamma$ for turbulent convection in
an electrically driven film. In analogy with turbulent Rayleigh-B{\'e}nard
convection, we develop the relevant theoretical framework in which we discuss
the local-power-law-scaling of $\rm Nu$ with a dimensionless electrical forcing
parameter $\cal R$. For these experiments where $10^4 \lesssim {\cal R}
\lesssim 2 \times 10^5$ we find that ${\rm Nu} \sim {\rm F}(\Gamma){\cal
R}^\gamma$ with $\gamma$ either $ = 0.26 (\pm 0.02)$ or $0.20 (\pm 0.03)$, in
excellent agreement with the theoretical predictions of $\gamma = 1/4$ and 1/5.
Our measurements of the aspect ratio-dependence of ${\rm Nu}$ for $0.3 \leq
\Gamma \leq 17$ compares favorably with the function ${\rm F}(\Gamma)$ from the
scaling theory.

30
The categories of this paper are: q-alg
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat