Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Screening and fluctuation of the topological charge in random wave
  fields   Vortices, phase singularities, and topological defects of any kind often
reflect information that is crucial for understanding physical systems in which
such entities arise. With near-field experiments supported by numerical
calculations, we determine the fluctuations of the topological charge for phase
singularities in isotropic random waves as a function of the size R of the
observation window. We demonstrate that for two-dimensional fields such
fluctuations increase with a superlinear scaling law, consistent with a R log R
behavior. Additionally, we show that such scaling remains valid in the presence
of anisotropy.

4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci