Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastically forced dislocation density distribution in plastic
  deformation   The dynamical evolution of dislocations in plastically deformed metals is
controlled by both deterministic factors arising out of applied loads and
stochastic effects appearing due to fluctuations of internal stress. Such type
of stochastic dislocation processes and the associated spatially inhomogeneous
modes lead to randomness in the observed deformation structure. Previous
studies have analyzed the role of randomness in such textural evolution but
none of these models have considered the impact of a finite decay time (all
previous models assumed instantaneous relaxation which is "unphysical") of the
stochastic perturbations in the overall dynamics of the system. The present
article bridges this knowledge gap by introducing a colored noise in the form
of an Ornstein-Uhlenbeck noise in the analysis of a class of linear and
nonlinear Wiener and Ornstein-Uhlenbeck processes that these structural
dislocation dynamics could be mapped on to. Based on an analysis of the
relevant Fokker-Planck model, our results show that linear Wiener processes
remain unaffected by the second time scale in the problem but all nonlinear
processes, both Wiener type and Ornstein-Uhlenbeck type, scale as a function of
the noise decay time $\tau$. The results are expected to ramify existing
experimental observations and inspire new numerical and laboratory tests to
gain further insight into the competition between deterministic and random
effects in modeling plastically deformed samples.

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn