Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics and thermodynamics of rotators interacting with both long and
  short range couplings   The effect of nearest-neighbor coupling on the thermodynamic and dynamical
properties of the ferromagnetic Hamiltonian Mean Field model (HMF) is studied.
For a range of antiferromagnetic nearest-neighbor coupling, a canonical first
order transition is observed, and the canonical and microcanonical ensembles
are non-equivalent. In studying the relaxation time of non-equilibrium states
it is found that as in the HMF model, a class of non-magnetic states is
quasi-stationary, with an algebraic divergence of their lifetime with the
number of degrees of freedom $N$. The lifetime of metastable states is found to
increase exponentially with $N$ as expected.

29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an