Phase diagram of force-induced DNA unzipping in exactly solvable models

Details Phase diagram of force-induced DNA unzipping in exactly solvable models Phase diagram of force-induced DNA unzipping in exactly solvable models

2001-01-15

arxiv.org/abs/cond-mat/0101207v2

Phys. Rev. E 64, 031901

Physics

Condensed Matter

Statistical Mechanics

19 pages, 5 eps figures; revised version with minor changes, presentation simplified in the text with details in appendix. Acc

Scientific paper

10.1103/PhysRevE.64.031901

The mechanical separation of the double helical DNA structure induced by forces pulling apart the two DNA strands (``unzipping'') has been the subject of recent experiments. Analytical results are obtained within various models of interacting pairs of directed walks in the (1,1,...,1) direction on the hypercubic lattice, and the phase diagram in the force-temperature plane is studied for a variety of cases. The scaling behaviour is determined at both the unzipping and the melting transition. We confirm the existence of a cold denaturation transition recently observed in numerical simulations: for a finite range of forces the system gets unzipped by {\it decreasing} the temperature. The existence of this transition is rigorously established for generic lattice and continuum space models.

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