Coarse graining, fractional moments and the critical slope of random copolymers
Fabio Lucio Toninelli, CNRS and ENS Lyon
Abstract
For a much-studied model of random copolymer at a
selective interface we prove that the slope of the critical curve
in the weak-disorder limit is strictly smaller than 1, which is
the value given by the annealed inequality. The proof is based on a
coarse-graining procedure, combined with upper bounds on the
fractional moments of the partition function.
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