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 Electronic Journal of Probability > Vol. 14 (2009) > Paper 20 open journal systems 


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.


Full text: PDF

Pages: 531-547

Published on: February 23, 2009
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Electronic Journal of Probability. ISSN: 1083-6489