Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cooperative effects driving the multi-periodic dynamics of cyclically
  sheared amorphous solids   Plasticity in amorphous materials, such as glasses, colloids, or granular
materials, is mediated by local rearrangements called "soft spots". Experiments
and simulations have shown that soft spots are two-state entities interacting
via quadrupolar displacement fields generated when they switch states. When the
system is subjected to cyclic strain driving, the soft spots can return to
their original state after one or more forcing cycles. In this case, the system
has periodic dynamics and will always repeat the same microscopic states. Here
we focus on multi-periodic dynamics, i.e. dynamics that has periodicity larger
than the periodicity of the drive, and use a graph-theoretical approach to
analyze the dynamics obtained from numerical simulations. In this approach,
mechanically stable configurations that transform purely elastically into each
other over a range of applied strains, are represented by vertices, and plastic
events leading from one stable configuration to the other, are represented by
directed edges. An algorithm based on the graph topology and the displacement
fields of the soft spots reveals that multi-periodic behavior results from the
states of some soft spots repeating after more than one period and provides
information regarding the mechanisms that allow for such dynamics. To better
understand the physical mechanisms behind multi-periodicity, we use a model of
interacting hysterons. Each hysteron is a simplified two-state element
representing hysteretic soft-spot dynamics. We identify several mechanisms for
multi-periodicity in this model, some involving direct interactions between
multi-periodic hysterons and another resulting from cooperative dynamics
involving several hysterons. These cooperative events are naturally more common
when more hysterons are present, thus explaining why multi-periodicity is more
prevalent at large drive amplitudes.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an