Abstract
We use a mapping of the Kardar-Parisi-Zhang (KPZ) equation for interfacial growth to the equilibrium model of a directed polymer in a random medium to obtain the exact value of the dynamical exponent at the KPZ roughening transition. Our argument does not rely on perturbation theory and predicts that the value =2 should be superuniversal, whenever thermal fluctuations are relevant at the corresponding equilibrium critical point in the directed polymer model.
- Received 20 December 1991
DOI:https://doi.org/10.1103/PhysRevLett.69.1979
©1992 American Physical Society