Self-avoiding walks adsorbed at a surface and pulled at their mid-point

Abstract

We consider a self-avoiding walk on the $d$-dimensional hypercubic lattice, terminally attached to an impenetrable hyperplane at which it can adsorb. When a force is applied the walk can be pulled off the surface and we consider the situation where the force is applied at the middle vertex of the walk. We show that the temperature dependence of the critical force required for desorption differs from the corresponding value when the force is applied at the end-point of the walk. This is of interest in single molecule pulling experiments since it shows that the required force can depend on where the force is applied. We also briefly consider the situation when the force is applied at other interior vertices of the walk.

References in corpus (6)

• Pulling absorbing and collapsing polymers from a surface
• Force-induced desorption of a linear polymer chain adsorbed on an attractive surface
• Light propagation in a Cole-Cole nonlinear medium via Burgers-Hopf equation
• The Statistical Mechanics of Stretched Polymers
• Pulling adsorbed self-avoiding walks from a surface
• Self-avoiding walks adsorbed at a surface and subject to a force

Cited by in corpus (7)

• Force-induced desorption of uniform branched polymers
• Polygons pulled from an adsorbing surface
• Adsorbing staircase polygons subject to a force
• Force-induced desorption of $3$-star polymers: a self-avoiding walk model
• Force-induced desorption of uniform block copolymers
• Critical behaviour of the extended-ballistic transition for pulled self-avoiding walks
• Self-avoiding walks pulled at an angle