Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the range of 3D dislocation pair correlations   Numerical studies of dislocation pair correlations have played a central role
in deriving a continuum theory from the equations of motion of 2D dislocation
systems in a mathematically rigorous way. As part of an effort to extend this
theory into the full 3D dislocation problem, 3D dislocation pair correlations
were studied with discrete dislocation dynamics simulation. As a first
approximation, dislocations were modeled as uncharged curves in space (their
Burgers vectors were disregarded). An inverse square decay with distance was
found to describe the numerically obtained pair correlations of the studied
curve system.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat