Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory for the rheology of dense non-Brownian suspensions: divergence of
  viscosities and $\mu$-$J$ rheology   A systematic microscopic theory for the rheology of dense non-Brownian
suspensions characterized by the volume fraction $\varphi$ is developed. The
theory successfully derives the critical behavior in the vicinity of the
jamming point (volume fraction $\varphi_{J}$), for both the pressure $P$ and
the shear stress $\sigma_{xy}$, i.e. $P \sim \sigma_{xy} \sim \dot\gamma \eta_0
\delta\varphi^{-2}$, where $\dot\gamma$ is the shear rate, $\eta_0$ is the
shear viscosity of the solvent, and $\delta\varphi = \varphi_J - \varphi > 0$
is the distance from the jamming point. It also successfully describes the
behavior of the stress ratio $\mu = \sigma_{xy}/P$ with respect to the viscous
number $J=\dot\gamma\eta_{0}/P$.

30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys