Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Glassy states and superrelaxation in populations of coupled phase
  oscillators   Large networks of coupled oscillators appear in many branches of science, so
that the kinds of phenomena they exhibit are not only of intrinsic interest but
also of very wide importance. In 1975, Kuramoto proposed an analytically
tractable model to describe such systems, which has since been successfully
applied in many contexts and remains a subject of intensive research. Some
related problems, however, remain unclarified for decades, such as the
properties of the oscillator glass state discovered by Daido in 1992. Here we
present a detailed analysis of a very general form of the Kuramoto model. In
particular, we find the conditions when it can exhibit glassy behavior, which
represents a kind of synchronous disorder in the present case. Furthermore, we
discover a new and intriguing phenomenon that we refer to as {\it
superrelaxation} where, for a class of parameter distributions, the oscillators
feel no interaction at all during relaxation to incoherence, a phenomenon
reminiscent of superfluidity or superconductivity. Our findings offer the
possibility of creating glassy states and observing superrelaxation in real
systems, thus paving the way to a cascade of applications and further research
in the field.

12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph