Self-avoiding walks subject to a force

Abstract

We prove some theorems about self-avoiding walks attached to an impenetrable surface (i.e. positive walks) and subject to a force. Specifically we show the force dependence of the free energy is identical when the force is applied at the last vertex or at the top (confining) plane. We discuss the relevance of this result to numerical results and to a recent result about convergence rates when the walk is being pushed towards the surface.

References in corpus (2)

• Force-induced desorption of a linear polymer chain adsorbed on an attractive surface
• Compressed self-avoiding walks, bridges and polygons

Cited by in corpus (6)

• Self-avoiding walks adsorbed at a surface and subject to a force
• Force-induced desorption of uniform block copolymers
• Critical behaviour of the extended-ballistic transition for pulled self-avoiding walks
• Forces and pressures in adsorbing partially directed walks
• Self-avoiding walks pulled at an angle
• Compressed self-avoiding walks in two and three dimensions