Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixed flux-equipartition solutions of a diffusion model of nonlinear
  cascades   We present a parametric study of a nonlinear diffusion equation which
generalises Leith's model of a turbulent cascade to an arbitrary cascade having
a single conserved quantity. There are three stationary regimes depending on
whether the Kolmogorov exponent is greater than, less than or equal to the
equilibrium exponent. In the first regime, the large scale spectrum scales with
the Kolmogorov exponent. In the second regime, the large scale spectrum scales
with the equilibrium exponent so the system appears to be at equilibrium at
large scales. Furthermore, in this equilibrium-like regime, the amplitude of
the large-scale spectrum depends on the small scale cut-off. This is
interpreted as an analogue of cascade nonlocality. In the third regime, the
equilibrium spectrum acquires a logarithmic correction. An exact analysis of
the self-similar, non-stationary problem shows that time-evolving cascades have
direct analogues of these three regimes.

33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con