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Phase transitions and noise cross-correlations in a model of directed polymers in a disordered medium

Basu, Abhik (2000) Phase transitions and noise cross-correlations in a model of directed polymers in a disordered medium. In: Physical Review E, 62 (4). pp. 4675-4681.

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Abstract

We show that effective interactions mediated by disorder between two directed polymers can be modeled as the cross-correlation of noises in the Kardar-Parisi-Zhang (KPZ) equations satisfied by the respective free energies of these polymers. When there are two polymers, disorder introduces attractive interactions between them. We analyze the phase diagram in detail and show that these interactions lead to new phases in the phase diagram. We show that, even in dimension d51, the two directed polymers see the attraction only if the strength of the disorder potential exceeds a threshold value. We extend our calculations to show that if there are m polymers in the system, then m-body interactions are generated in the disorder averaged effective free energy.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to American Institute of Physics.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 11 Aug 2006
Last Modified: 19 Sep 2010 04:30
URI: http://eprints.iisc.ernet.in/id/eprint/8035

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