Journal article

Adsorbing staircase polygons subject to a force

Nicholas R Beaton

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | IOP PUBLISHING LTD | Published : 2017

Abstract

We study several models of staircase polygons on the 45° rotated square lattice, which interact with an impenetrable surface while also being pushed towards or pulled away from the surface by a force. The surface interaction is governed by a fugacity a and the force by a fugacity y. Staircase polygons are simplifications of more general self-avoiding polygons, a well-studied model of interacting ring polymers. For this simplified case we are able to exactly determine the limiting free energy in the full a-y plane, and demonstrate that staircase polygons exhibit four different phases, including a "mixed" adsorbedballistic phase.

University of Melbourne Researchers

Grants

Awarded by Australian Research Council


Funding Acknowledgements

The author is supported by the Australian Research Council project DE170100186. This work began while the author was visiting the Department of Chemistry at the University of Toronto, and their hospitality was greatly appreciated. The author thanks Stu Whittington, Buks van Rensburg and Tony Guttmann for helpful conversations.