Novel scaling behavior of directed polymers: Disorder distribution with long tails |
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| Authors: | Umberto Marini Bettolo Marconi Yi-Cheng Zhang |
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| Institution: | (1) INFN and Dipartimento di Fisica, Università di Roma, 00185 Rome, Italy;(2) Dipartimento di Matematica e Fisica, Università di Camerino, Italy |
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| Abstract: | We study the problem of directed polymers (DP) on a square lattice. The distribution of disorder is assumed to be independent but non-Gaussian. We show that for distributions with a power-law tailP()  1/||1+
, where>2, so that the mean and variance are well defined, the scaling exponentv of the DP model depends on in a continuous fashion. |
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| Keywords: | Directed polymers non-Gaussian distribution tails |
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