Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probability Density Functions of Decaying Passive Scalars in Periodic
  Domains : An Application of Sinai-Yakhot Theory   Employing the formalism introduced by Sinai and Yakhot [PRL, 63(18), p. 1962,
1989], we study the probability density functions (pdf's) of decaying passive
scalars in periodic domains under the influence of smooth large scale velocity
fields. The particular regime we focus on is one where the normalized scalar
pdf's attain a self-similar profile in finite time, i.e., the so called strange
or statistical eigenmode regime. In accordance with the work of Sinai and
Yakhot, the central regions of the pdf's are power laws. But the details of the
pdf profiles are dependent on the physical parameters in the problem.
Interestingly, for small Peclet numbers the pdf's {\it resemble} stretched or
pure exponential functions, whereas in the limit of large Peclet numbers, there
emerges a universal Gaussian form for the pdf. Numerical simulations are used
to verify these predictions.

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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas