Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Continuum Potts Model at the Disorder-Order Transition -- a Study by
  Cluster Dynamics   We investigate the continuum q-Potts model at its transition point from the
disordered to the ordered regime, with particular emphasis on the coexistence
of disordered and ordered phases in the high-q case. We argue that occurrence
of phase transition can be seen as percolation in the related random cluster
representation, similarly to the lattice Potts model, and investigate the
typical structure of clusters for high q. We also report on numerical
simulations in two dimensions using a continuum version of the Swendsen-Wang
algorithm, compare the results with earlier simulations which used the invaded
cluster algorithm, and discuss implications on the geometry of clusters in the
disordered and ordered phases.

26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph