We study the problem of directed polymers (DP) on a square lattic. The distribution of disorder epsilon is assumed to be independent but non-Gaussian. We show that for distributions with a power-law tail P(epsilon) approximately 1/\epsilon\1 + mu, where mu > 2, so that the mean and variance are well defined, the scaling exponent v of the DP model depends on mu in a continuous fashion.
Novel Scaling Behavior of Directed Polymers - Disorder Distribution With Long Tails
MARINI BETTOLO MARCONI, Umberto;
1990-01-01
Abstract
We study the problem of directed polymers (DP) on a square lattic. The distribution of disorder epsilon is assumed to be independent but non-Gaussian. We show that for distributions with a power-law tail P(epsilon) approximately 1/\epsilon\1 + mu, where mu > 2, so that the mean and variance are well defined, the scaling exponent v of the DP model depends on mu in a continuous fashion.File in questo prodotto:
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