Stretched Polymers in a Poor Solvent

Details Stretched Polymers in a Poor Solvent Stretched Polymers in a Poor Solvent

2001-11-09

arxiv.org/abs/cond-mat/0111170v2

Phys. Rev. E65, 031807 (2002)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 16 figures

Scientific paper

10.1103/PhysRevE.65.031807

Stretched polymers with attractive interaction are studied in two and three dimensions. They are described by biased self-avoiding random walks with nearest neighbour attraction. The bias corresponds to opposite forces applied to the first and last monomers. We show that both in $d=2$ and $d=3$ a phase transition occurs as this force is increased beyond a critical value, where the polymer changes from a collapsed globule to a stretched configuration. This transition is second order in $d=2$ and first order in $d=3$. For $d=2$ we predict the transition point quantitatively from properties of the unstretched polymer. This is not possible in $d=3$, but even there we can estimate the transition point precisely, and we can study the scaling at temperatures slightly below the collapse temperature of the unstretched polymer. We find very large finite size corrections which would make very difficult the estimate of the transition point from straightforward simulations.

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