Scaling of fluctuation for Directed polymers with random interaction

Details Scaling of fluctuation for Directed polymers with random interaction Scaling of fluctuation for Directed polymers with random interaction

1996-01-25

arxiv.org/abs/cond-mat/9601119v1

Physics

Condensed Matter

Revtex, 4 postscript figures available on request (email: sb@iopb.ernet.in); To appear in J. Phys. A Letters

Scientific paper

10.1088/0305-4470/29/5/006

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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