Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nontrivial rheological exponents in sheared yield stress fluids   In this work we discuss possible physical origins for non-trivial exponents
in the athermal rheology of soft materials at low but finite driving rates. A
key ingredient in our scenario is the presence of a self-consistent mechanical
noise that stems from the spatial superposition of long-range elastic responses
to localized plastically deforming regions. We study analytically a mean-field
model, in which this mechanical noise is accounted for by a stress diffusion
term coupled to the plastic activity. Within this description we show how a
dependence of the shear modulus and/or the local relaxation time on the shear
rate introduces corrections to the usual mean-field prediction, concerning the
Herschel-Bulkley-type rheological response of exponent 1/2. This feature of the
mean-field picture is then shown to be robust with respect to structural
disorder and partial relaxation of the local stress. We test this prediction
numerically on a mesoscopic lattice model that implements explicitly the
long-range elastic response to localized shear transformations, and we conclude
on how our scenario might be tested in rheological experiments.

18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org