Adsorption of Externally Stretched Two-Dimensional Flexible and Semi-flexible Polymers near an Attractive Wall

Abstract

We study analytically a model of a two dimensional, partially directed, flexible or semiflexible polymer, attached to an attractive wall which is perpendicular to the preferred direction. In addition, the polymer is stretched by an externally applied force. We find that the wall has a dramatic effect on the polymer. For wall attraction smaller than the non-sequential nearest neighbor attraction, the fraction of monomers at the wall is zero and the model is the same as that of a polymer without a wall. However, for greater than, the fraction of monomers at the wall undergoes a first order transition from unity at low temperature and small force, to zero at higher temperatures and forces. We present phase diagram for this transition. Our results are confirmed by Monte-Carlo simulations.

15 pages, 6 figures

References in corpus (5)

• Collapse Transition of Two-Dimensional Flexible and Semiflexible Polymers
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• Force induced conformational transition in a system of interacting stiff polymer: Application to unfolding
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Cited by in corpus (4)

• Stiffness dependence of critical exponents of semiflexible polymer chains situated on two-dimensional compact fractals
• Exact solution of weighted partially directed walks crossing a square
• Lattice models of directed and semiflexible polymers in anisotropic environment
• Stretching self-interacting, partially directed, flexible and semi-flexible polymers by an external force