Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Digital representation and quantification of discrete dislocation
  networks   Dislocation networks and their evolution are known to control the mechanical
properties of metal samples. However, the lack of computationally efficient and
statistically rigorous descriptors for such defect systems has hindered the
development and adoption of rational protocols for the optimal design of these
material systems. This study presents a framework for the rigorous statistical
quantification and low dimensional representation of dislocation networks using
the formalism of 2-point spatial correlations (also called 2-point statistics)
along with Principle Component Analysis (PCA). The usefulness of this basic
framework for comparing and observing dislocation networks is exemplified and
discussed with suitable examples.

11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph