Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative analogue Aharonov-Bohm effect and superresonance   We consider the idea of modeling a rotating acoustic black hole by an
idealized draining bathtub vortex which is a planar circulating flow phenomenon
with a sink at the origin. We find the acoustic metric for this phenomenon from
a noncommutative Abelian Higgs model. As such the acoustic metric not only
describes a rotating acoustic black hole but also inherits the noncommutative
characteristic of the spacetime. We address the issues of superresonance and
analogue Aharonov-Bohm (AB) effect in this background. We mainly show that the
scattering of planar waves by a draining bathtub vortex leads to a modified AB
effect and due to spacetime noncommutativity, the phase shift persists even in
the limit where the parameters associated with the circulation and draining
vanish. Finally, we also find that the analogue AB effect and superresonance
are competing phenomena at a noncommutative spacetime.

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The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math