Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Third-order structure functions for isotropic turbulence with
  bidirectional energy transfer   We derive and test a new heuristic theory for third-order structure functions
that resolve the forcing scale in the scenario of simultaneous spectral energy
transfer to both small and large scales, which can occur naturally in rotating
stratified turbulence or magnetohydrodynamical~(MHD) turbulence, for example.
The theory has three parameters, namely the upscale/downscale energy transfer
rates and the forcing scale, and it includes the classic inertial range
theories as local limits. When applied to measured data, our global-in-scale
theory can deduce the energy transfer rates using the full range of data,
therefore it has broader applications compared with the local theories,
especially in the situations where the data is imperfect. In addition, because
of the resolution of forcing scales, the new theory can detect the scales of
energy input, which was impossible before. We test our new theory with a
two-dimensional simulation of MHD turbulence.

17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math