Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A random matrix approach to the boson peak and Ioffe-Regel criterion in
  amorphous solids   We present a random matrix approach to study general vibrational properties
of stable amorphous solids with translational invariance using the correlated
Wishart ensemble. Within this approach, both analytical and numerical methods
can be applied. Using the random matrix theory, we found the analytical form of
the vibrational density of states and the dynamical structure factor. We
demonstrate the presence of the Ioffe-Regel crossover between low-frequency
propagating phonons and diffusons at higher frequencies. The reduced
vibrational density of states shows the boson peak, which frequency is close to
the Ioffe-Regel crossover. We also present a simple numerical random matrix
model with finite interaction radius, which properties rapidly converges to the
analytical results with increasing the interaction radius. For fine interaction
radius, the numerical model demonstrates the presence of the quasilocalized
vibrations with a power-law low-frequency density of states.

33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph