Duality mapping and unbinding transitions of semiflexible and directed polymers

Details Duality mapping and unbinding transitions of semiflexible and directed polymers Duality mapping and unbinding transitions of semiflexible and directed polymers

2010-11-10

arxiv.org/abs/1011.2316v1

J. Phys. A: Math. Gen. 38, L155-L161 (2005)

Physics

Condensed Matter

Statistical Mechanics

7 pages, eq. (20) corrected in this submission

Scientific paper

10.1088/0305-4470/38/9/L01

Directed polymers (strings) and semiflexible polymers (filaments) are one-dimensional objects governed by tension and bending energy, respectively. They undergo unbinding transitions in the presence of a short-range attractive potential. Using transfer matrix methods we establish a duality mapping for filaments and strings between the restricted partition sums in the absence and the presence of a short-range attraction. This allows us to obtain exact results for the critical exponents related to the unbinding transition, the transition point and transition order.

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