Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase transitions in 3D Ising model with cluster weight by Monte Carlo
  method   A cluster weight Ising model is proposed by introducing an additional cluster
weight in the partition function of the traditional Ising model. It is
equivalent to the O($n$) loop model or $n$-component face cubic loop model on
the two-dimensional lattice, but on the three-dimensional lattice, it is still
not very clear whether or not these models have the same universality. In order
to simulate the cluster weight Ising model and search for new universality
class, we apply a cluster algorithm, by combining the color-assignation and the
Swendsen-Wang methods. The dynamical exponent for the absolute magnetization is
estimated to be $z=0.45(3)$ at $n=1.5$, consistent with that of the traditional
Swendsen-Wang methods. The numerical estimation of the thermal exponent $y_t$
and magnetic exponent $y_m$, show that the universalities of the two models on
the three-dimensional lattice are different. We obtain the global phase diagram
containing paramagnetic and ferromagnetic phases. The phase transition between
the two phases are second order at $1\leq n< n_c$ and first order at $n\geq
n_c$, where $n_c\approx 2$. The scaling dimension $y_t$ equals to the system
dimension $d$ when the first-order transition occurs. Our results are helpful
in the understanding of some traditional statistical mechanics models.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom