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Abstract
We present results of Monte Carlo simulations of random bond Potts models in
two dimensions, for different numbers of Potts states, q. We introduce a
simple scheme which yields continuous self-dual distributions of the
interactions. As expected, we find multifractal behavior of the correlation
functions at the critical point and obtain estimates of the exponent $\eta_n$
for several moments, n, of the correlation functions, including typical (n ->
0), average (n=1) and others. In addition, for q=8, we find that there is only
a single correlation length exponent describing the correlation length away
from criticality. This is numerically very close to the pure Ising value of
unity.
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