Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlation length-exponent relation for the two-dimensional random
  Ising model   We consider the two-dimensional (2d) random Ising model on a diagonal strip
of the square lattice, where the bonds take two values, $J_1>J_2$, with equal
probability. Using an iterative method, based on a successive application of
the star-triangle transformation, we have determined at the bulk critical
temperature the correlation length along the strip, $\xi_L$, for different
widths of the strip, $L \le 21$. The ratio of the two lengths, $\xi_L/L=A$, is
found to approach the universal value, $A=2/\pi$ for large $L$, independent of
the dilution parameter, $J_1/J_2$. With our method we have demonstrated with
high numerical precision, that the surface correlation function of the 2d
dilute Ising model is self-averaging, in the critical point conformally
coovariant and the corresponding decay exponent is $\eta_{\parallel}=1$.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs