Abstract
We study the general behaviour of the correlation length ξ(kT, h) for
the two-point correlation function of the local fields in an Ising chain
with binary distributed fields. At zero field it is shown that
ξ is the same as the zero field correlation length for the spin-spin
correlation function. For the field dominated behaviour of ξ we find
an exponent for the power law divergence which is smaller than the exponent
for the spin-spin correlation length. The entire behaviour of the correlation
length can be described by a single crossover scaling function involving the
new critical exponent.
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