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A variational study of directed polymers in disordered media with short-range interactions

T. Blum
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Abstract

A variational method that allows for replica-symmetry breaking is applied to directed polymers in an (N+1)-dimensional disordered medium. The noise studied here has gaussian correlations, i.e. it is short-ranged. In dimensions N<2, the variational scheme yields only a strong-coupling phase and anomalous diffusion; while in dimensions N>2 it shows weak- and strong-coupling phases but no anomalous diffusion. Comparisons are made with the results of Mezard and Parisi [11] for noise with power-law correlations.

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T. Blum. 1993-10-21. A variational study of directed polymers in disordered media with short-range interactions. https://arxiv.org/abs/cond-mat/9310050

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