Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abnormal diffusion of a single vortex in the two dimensional XY model   We study thermal diffusion dynamics of a single vortex in two dimensional XY
model. By numerical simulations we find an abnormal diffusion such that the
mobility decreases with time $t$ as $1/\ln t$. In addition we construct a one
dimensional diffusion-like equation to model the dynamics and confirm that it
conserves quantitative property of the abnormal diffusion. By analyzing the
reduced model, we find that the radius of the collectively moving region with
the vortex core grows as $R(t) \propto t^{1/2}$. This suggests that the
mobility of the vortex is described by dynamical correlation length as $1/\ln
R(t)$.

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The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio