Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deterministic and stochastic properties of self-similar Rayleigh-Taylor
  mixing induced by space-varying acceleration   Rayleigh-Taylor interfacial mixing has critical importance in a broad range
of processes in nature and technology. In most instances Rayleigh-Taylor
dynamics is induced by variable acceleration, whereas the bulk of existing
studies is focused on the cases of constant and impulsive accelerations
referred respectively as classical Rayleigh-Taylor and classical
Richtmyer-Meshkov dynamics. In this work we consider Rayleigh-Taylor mixing
induced by variable acceleration with power-law dependence on the spatial
coordinate in the acceleration direction. We apply group theory and momentum
model to find deterministic asymptotic solutions for self-similar RT mixing. We
further augment momentum model with a stochastic process to study numerically
the effect of fluctuations on statistical properties of self-similar mixing in
a broad parameter regime. We reveal that self-similar mixing can be
Rayleigh-Taylor-type and Richtmyer-Meshkov type depending on the acceleration
exponent. We further find the value of critical exponent separating
Rayleigh-Taylor-type mixing and Richtmyer-Meshkov-type mixing, and identify
invariant quantities characterizing Rayleigh-Taylor-type mixing and
Richtmyer-Meshkov-type mixing.

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The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
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The categories of this paper are: funct-an
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th