Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimation of critical behavior from the density of states in Classical
  Statistical Models   We present a simple and efficient approximation scheme which greatly
facilitates extension of Wang-Landau sampling (or similar techniques) in large
systems for the estimation of critical behavior. The method, presented in an
algorithmic approach, is based on a very simple idea, familiar in statistical
mechanics from the notion of thermodynamic equivalence of ensembles and the
central limit theorem. It is illustrated that, we can predict with high
accuracy the critical part of the energy space and by using this restricted
part we can extend our simulations to larger systems and improve accuracy of
critical parameters. It is proposed that the extensions of the finite size
critical part of the energy space, determining the specific heat, satisfy a
scaling law involving the thermal critical exponent. The method is applied
successfully for the estimation of the scaling behavior of specific heat of
both square and simple cubic Ising lattices. The proposed scaling law is
verified by estimating the thermal critical exponent from the finite size
behavior of the critical part of the energy space. The density of states (DOS)
of the zero-field Ising model on these lattices is obtained via a multi-range
Wang-Landau sampling.

2
The categories of this paper are: math
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio