Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-equilibrium steady states, coexistence and criticality in driven
  quasi-two-dimensional granular matter   Nonequilibrium steady states of vibrated inelastic frictionless spheres are
investigated in quasi-two-dimensional confinement via molecular dynamics
simulations. The phase diagram in the density-amplitude plane exhibits a
fluidlike disordered and an ordered phase with threefold symmetry, as well as
phase coexistence between the two. A dynamical mechanism exists that brings
about metastable traveling clusters and at the same time stable clusters with
anisotropic shapes at low vibration amplitude. Moreover, there is a square
bilayer state which is connected to the fluid by BKTHNY-type two-step melting
with an intermediate tetratic phase. The critical behavior of the two
continuous transitions is studied in detail. For the fluid-tetratic transition,
critical exponents of $\tilde{\gamma}=1.73$, $\eta_4 \approx 1/4$, and $z=2.05$
are obtained.

21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex