Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dislocation mutual interactions mediated by mobile impurities and the
  conditions for plastic instabilities   Matallic alloys, such as Al or Cu, or mild steel, display plastic
instabilities in a well defined range of temperatures and deformation rates, a
phenomenon known as the Portevin-Le Chatelelier (PLC) effect. The stick-slip
behavior, or serration, typical of this effect is due to the discontinuous
motion of dislocations as they interact with solute atoms. Here we study a
simple model of interacting dislocations and show how the classical Einstein
fluctuation-dissipation relation can be used to define the temperature in a
range of model parameters and to construct a phase diagram of serration that
can be compared to experimental results. Furthermore, performing analytical
calculations and numerically integrating the equations of motion, we clarify
the crucial role played by dislocation mutual interactions in serration.

11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph