Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statics and dynamics of a harmonic oscillator coupled to a
  one-dimensional Ising system   We investigate an oscillator linearly coupled with a one-dimensional Ising
system. The coupling gives rise to drastic changes both in the oscillator
statics and dynamics. Firstly, there appears a second order phase transition,
with the oscillator stable rest position as its order parameter. Secondly, for
fast spins, the oscillator dynamics is described by an effective equation with
a nonlinear friction term that drives the oscillator towards the stable
equilibrium state.

23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom