Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Residual Diffusivity in Elephant Random Walk Models with Stops   We study the enhanced diffusivity in the so called elephant random walk model
with stops (ERWS) by including symmetric random walk steps at small probability
$\epsilon$. At any $\epsilon > 0$, the large time behavior transitions from
sub-diffusive at $\epsilon = 0$ to diffusive in a wedge shaped parameter regime
where the diffusivity is strictly above that in the un-perturbed ERWS model in
the $\epsilon \downarrow 0$ limit. The perturbed ERWS model is shown to be
solvable with the first two moments and their asymptotics calculated exactly in
both one and two space dimensions. The model provides a discrete analytical
setting of the residual diffusion phenomenon known for the passive scalar
transport in chaotic flows (e.g. generated by time periodic cellular flows and
statistically sub-diffusive) as molecular diffusivity tends to zero.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
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The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th