Testing a Variational Approach to Random Directed Polymers

Details Testing a Variational Approach to Random Directed Polymers Testing a Variational Approach to Random Directed Polymers

1999-02-25

arxiv.org/abs/cond-mat/9902338v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, 7 eps figures

Scientific paper

The one dimensional direct polymer in random media model is investigated using a variational approach in the replica space. We demonstrate numerically that the stable point is a maximum and the corresponding statistical properties for the delta correlated potential are in good agreements with the known analytic solution. In the case of power-law correlated potential two regimes are recovered: a Flory scaling dependent on the exponent of the correlations, and a short range regime in analogy with the delta-correlated potential case.

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