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Scaling of fluctuation for Directed polymers with random interaction

Sutapa Mukherji·Somendra M. Bhattacharjee·A. Baumgärtner
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Abstract

Using a finite size scaling form for reunion probability, we show numerically the existence of a binding-unbinding transition for Directed polymers with random interaction. The cases studied are (A1) two chains in 1+1 dimensions, (A2) two chains in 2+1 dimensions and (B) three chains in 1+1 dimensions. A similar finite size scaling form for fluctuation establishes a disorder induced transition with identical exponents for cases A2 and B. The length scale exponents in all the three cases are in agreement with previous exact renormalization group results.

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Sutapa Mukherji, Somendra M. Bhattacharjee, A. Baumgärtner. 1996-01-25. Scaling of fluctuation for Directed polymers with random interaction. https://doi.org/10.1088/0305-4470%2F29%2F5%2F006

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