Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An exactly solvable ansatz for statistical mechanics models   We propose a family of "exactly solvable" probability distributions to
approximate partition functions of two-dimensional statistical mechanics
models. While these distributions lie strictly outside the mean-field
framework, their free energies can be computed in a time that scales linearly
with the system size. This construction is based on a simple but nontrivial
solution to the marginal problem. We formulate two non-linear constraints on
the set of locally consistent marginal probabilities that simultaneously (i)
ensure the existence of a consistent global probability distribution and (ii)
lead to an exact expression for the maximum global entropy.

12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex