# Adsorbed self-avoiding walks pulled at an interior vertex

## TL;DR

This paper studies how self-avoiding walks adsorbed on a surface respond to pulling forces at different interior vertices, combining rigorous analysis and Monte Carlo simulations to explore phase transitions and boundaries.

## Contribution

It provides new insights into the phase diagram of adsorbed self-avoiding walks under interior vertex pulling, including bounds and quantitative predictions.

## Key findings

- Phase boundaries are bounded and characterized.
- Monte Carlo simulations predict transition locations.
- Different phase transition behaviors are identified.

## Abstract

We consider self-avoiding walks terminally attached to a surface at which they can adsorb. A force is applied, normal to the surface, to desorb the walk and we investigate how the behaviour depends on the vertex of the walk at which the force is applied. We use rigorous arguments to map out some features of the phase diagram, including bounds on the locations of some phase boundaries, and we use Monte Carlo methods to make quantitative predictions about the locations of these boundaries and the nature of the various phase transitions.