Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective field theory for the Ising model with a fluctuating exchange
  integral in an asymmetric bimodal random magnetic field: A differential
  operator technique   The spin-1/2 Ising model on a square lattice, with fluctuating bond
interactions between nearest neighbors and in the presence of a random magnetic
field, is investigated within the framework of the effective field theory based
on the use of the differential operator relation. The random field is drawn
from the asymmetric and anisotropic bimodal probability distribution
$P(h_{i})=p \delta(h_{i}-h_{1}) + q \delta (h_{i}+ ch_{1})$, where the site
probabilities $p,q$ take on values within the interval $[0,1]$ with the
constraint $p+q=1$; $h_{i}$ is the random field variable with strength $h_{1}$
and $c$ the competition parameter, which is the ratio of the strength of the
random magnetic field in the two principal directions $+z$ and $-z$; $c$ is
considered to be positive resulting in competing random fields. The fluctuating
bond is drawn from the symmetric but anisotropic bimodal probability
distribution $P(J_{ij})=\frac{1}{2}\{\delta(J_{ij}-(J+\Delta)) + \delta
(J_{ij}-(J-\Delta))\}$, where $J$ and $\Delta$ represent the average value and
standard deviation of $J_{ij}$, respectively. We estimate the transition
temperatures, phase diagrams (for various values of system's parameters
$c,p,h_{1},\Delta$), susceptibility, equilibrium equation for magnetization,
which is solved in order to determine the magnetization profile with respect to
$T$ and $h_{1}$.

24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
2
The categories of this paper are: math