Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaotic Transport in Planar Periodic Vortical Flows   We have studied a chaotic transport in a two-dimensional periodic vortical
flow under a time-dependent perturbation with period T where the global
diffusion occurs along the stochastic web. By using the Melnikov method we
construct the separatrix map describing the approximate dynamics near the
saddle separatrices. Focusing on the small T, the width of the stochastic layer
is calculated analytically by using the residue criterion and the diffusion
constant by using the random phase assumption and correlated random walks. The
analytical results are in good agreements with the results of two different
types of numerical simulations by integrations of the Hamilton's equation of
motion and by iterations of the separatrix map, which establishes the validity
of the use of the separatrix map.

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The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph