Depinning of semiflexible polymers in (1+1) dimensions

Details Depinning of semiflexible polymers in (1+1) dimensions Depinning of semiflexible polymers in (1+1) dimensions

2002-11-12

arxiv.org/abs/cond-mat/0211229v1

Phys. Rev. E 67, 051108 (2003)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.67.051108

We present a theoretical analysis of a simple model of the depinning of an anchored semiflexible polymer from a fixed planar substrate in (1+1) dimensions. We consider a polymer with a discrete sequence of pinning sites along its contour. Using the scaling properties of the conformational distribution function in the stiff limit and applying the necklace model of phase transitions in quasi-one-dimensional systems, we obtain a melting criterion in terms of the persistence length, the spacing between pinning sites, a microscopic effective length which characterizes a bond, and the bond energy. The limitations of this and other similar approaches are also discussed. In the case of force-induced unbinding, it is shown that the bending rigidity favors the unbinding through a ``lever-arm effect''.

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