Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Depinning of a discrete elastic string from a two dimensional random
  array of weak pinning points   The present work is essentially concerned with the development of statistical
theory for the low temperature dislocation glide in concentrated solid
solutions where atom-sized obstacles impede plastic flow. In connection with
such a problem, we compute analytically the external force required to drag an
elastic string along a discrete two-dimensional square lattice, where some
obstacles have been randomly distributed. The corresponding numerical
simulations allow us to demonstrate a remarkable agreement between simulations
and theory for an obstacle density ranging from 1 to 50 % and for lattices with
different aspect ratios. The theory proves efficient on the condition that the
obstacle-chain interaction remains sufficiently weak compared to the string
stiffness.

13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph