Fluctuation exponents for directed polymers in the intermediate disorder regime

Gregorio R. Moreno Flores (Pointifica Universidad Catolica de Chile)
Timo Seppäläinen (University of Wisconsin - Madison)
Benedek Valkó (University of Wisconsin - Madison)

Abstract


We derive exact fluctuation exponents for a solvable model of one-dimensional directed polymers in random environment in the intermediate scaling regime. This regime corresponds to taking the inverse temperature to zero as the size of the system goes to infinity. The exponents satisfy the KPZ scaling relation and coincide with physical predictions.In the critical case, we recover the fluctuation exponent of the Hopf-Cole solution of the KPZ equation in equilibrium and close to equilibrium.

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Pages: 1-28

Publication Date: September 26, 2014

DOI: 10.1214/EJP.v19-3307

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