Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The zero-temperature random-field Ising model on a bi-layered Bethe
  lattice   The zero-temperature random-field Ising model is solved analytically for
magnetisation vs external field for a bi-layered Bethe lattice. The mechanisms
of infinite avalanches which are observed for small values of disorder are
established. The effects of variable inter-layer interaction strengths on
infinite avalanches are investigated. The spin-field correlation length is
calculated and its critical behaviour is discussed. Direct Monte-Carlo
simulations of spin-flip dynamics are shown to support the analytical findings.
We find, paradoxically, that a reduction of the inter-layer bond strength can
cause a phase transition from a regime with continuous magnetisation reversal
to a regime where magnetisation exhibits a discontinuity associated with an
infinite avalanche. This effect is understood in terms of the proposed
mechanisms for the infinite avalanche.

7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs