Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Permanent shear localization in dense disordered materials due to
  microscopic inertia   In this work we develop a theoretical framework for the localization of flow
in the steadily flowing regime of sheared disordered solids with inertial
dynamics on a microscopic scale. To this aim we perform rheology studies at
fixed shear rate on a 3D model of dense disordered solid. Our particle based
simulations reveal the existence of heterogeneous shear-profiles in the
stationary flow under homogeneous driving conditions. To rationalize this
result, we propose a continuum model that couples the dynamics of the local
flow to the evolution of a kinetic temperature field. A linear stability
analysis of this theory predicts the minimum system size necessary for the flow
instability to develop. This prediction as well as the velocity profiles
obtained from this continuum model are in good agreement with the results from
the particle based simulations.

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
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th