Scaling of fluctuation for Directed polymers with random interaction
Condensed Matter
2009-10-28 v1
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.
Cite
@article{arxiv.cond-mat/9601119,
title = {Scaling of fluctuation for Directed polymers with random interaction},
author = {Sutapa Mukherji and Somendra M. Bhattacharjee and A. Baumgärtner},
journal= {arXiv preprint arXiv:cond-mat/9601119},
year = {2009}
}
Comments
Revtex, 4 postscript figures available on request (email: sb@iopb.ernet.in); To appear in J. Phys. A Letters