Universality and Crossover of Directed Polymers and Growing Surfaces

Details Universality and Crossover of Directed Polymers and Growing Surfaces Universality and Crossover of Directed Polymers and Growing Surfaces

1999-03-20

arxiv.org/abs/cond-mat/9903315v1

Physics

Condensed Matter

Statistical Mechanics

LateX file + 5 .eps figures; to appear on Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.82.4236

We study KPZ surfaces on Euclidean lattices and directed polymers on hierarchical lattices subject to different distributions of disorder, showing that universality holds, at odds with recent results on Euclidean lattices. Moreover, we find the presence of a slow (power-law) crossover toward the universal values of the exponents and verify that the exponent governing such crossover is universal too. In the limit of a 1+epsilon dimensional system we obtain both numerically and analytically that the crossover exponent is 1/2.

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