Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixed order transition and condensation in exactly soluble one
  dimensional spin model   Mixed order phase transitions (MOT), which display discontinuous order
parameter and diverging correlation length, appear in several seemingly
unrelated settings ranging from equilibrium models with long-range interactions
to models far from thermal equilibrium. In a recent paper [1] an exactly
soluble spin model with long-range interactions that exhibits MOT was
introduced and analyzed both by a grand canonical calculation and a
renormalization group analysis. The model was shown to lay a bridge between two
classes of one dimensional models exhibiting MOT, namely between spin models
with inverse distance square interactions and surface depinning models. In this
paper we elaborate on the calculations done in [1]. We also analyze the model
in the canonical ensemble, which yields a better insight into the mechanism of
MOT. In addition, we generalize the model to include Potts and general Ising
spins, and also consider a broader class of interactions which decay with
distance with a power law different from 2.

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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol