Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixing Times for the Mean-Field Blume-Capel Model via Aggregate Path
  Coupling   In this paper we investigate the relationship between the mixing times of the
Glauber dynamics of a statistical mechanical system with its thermodynamic
equilibrium structure. For this we consider the mean-field Blume-Capel model,
one of the simplest statistical mechanical models that exhibits the following
intricate phase transition structure: within a two dimensional parameter space
there exists a curve at which the model undergoes a second-order, continuous
phase transition, a curve where the model undergoes a first-order,
discontinuous phase transition, and a tricritical point which separates the two
curves. We determine the interface between the regions of slow and rapid
mixing. In order to completely determine the region of rapid mixing, we employ
a novel extension of the path coupling method, successfully proving rapid
mixing even in the absence of contraction between neighboring states.

36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn