Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Detecting vortices in superconductors: Extracting one-dimensional
  topological singularities from a discretized complex scalar field   In type-II superconductors, the dynamics of superconducting vortices
determine their transport properties. In the Ginzburg-Landau theory, vortices
correspond to topological defects in the complex order parameter. Extracting
their precise positions and motion from discretized numerical simulation data
is an important, but challenging task. In the past, vortices have mostly been
detected by analyzing the magnitude of the complex scalar field representing
the order parameter and visualized by corresponding contour plots and
isosurfaces. However, these methods, primarily used for small-scale
simulations, blur the fine details of the vortices, scale poorly to large-scale
simulations, and do not easily enable isolating and tracking individual
vortices. Here we present a method for exactly finding the vortex core lines
from a complex order parameter field. With this method, vortices can be easily
described at a resolution even finer than the mesh itself. The precise
determination of the vortex cores allows the interplay of the vortices inside a
model superconductor to be visualized in higher resolution than has previously
been possible. By representing the field as the set of vortices, this method
also massively reduces the data footprint of the simulations and provides the
data structures for further analysis and feature tracking.

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The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex