Mechanical unfolding of directed polymers in a poor solvent: novel critical exponents

Details Mechanical unfolding of directed polymers in a poor solvent: novel critical exponents Mechanical unfolding of directed polymers in a poor solvent: novel critical exponents

2003-01-20

arxiv.org/abs/cond-mat/0301353v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 9 figures

Scientific paper

10.1103/PhysRevE.67.041802

We study the thermodynamics of an exactly solvable model of a self-interacting partially directed self-avoiding walk (DSAW) in two dimensions, when a force is applied on one end of the chain. The critical force for the unfolding is determined exactly, as a function of the temperature, below the $\Theta$-transition. The transition is second order and characterized by new critical exponents which are determined by a careful numerical analysis. The usual polymer critical index $\nu$ on the critical line, and another one, which we call $\zeta$, take a non-trivial value which is numerically close to 2/3.

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