Journal article
Polygons pulled from an adsorbing surface
AJ Guttmann, EJ Janse Van Rensburg, I Jensen, SG Whittington
Journal of Physics A Mathematical and Theoretical | IOP PUBLISHING LTD | Published : 2018
Abstract
We consider self-avoiding lattice polygons, in the hypercubic lattice, as a model of a ring polymer adsorbed at a surface and either being desorbed by the action of a force, or pushed towards the surface. We show that, when there is no interaction with the surface, then the response of the polygon to the applied force is identical (in the thermodynamic limit) for two ways in which we apply the force. When the polygon is attracted to the surface then, when the dimension is at least 3, we have a complete characterization of the critical force-temperature curve in terms of the behaviour, (a) when there is no force, and, (b) when there is no surface interaction. For the 2-dimensional case we hav..
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Awarded by Division of Arctic Sciences
Funding Acknowledgements
EJJvR and SGW acknowledge support in the form of Discovery Grants from NSERC (Canada). SGW was partially supported by the Leverhulme Trust Research Programme Grant No. RP2013-K-009, SPOCK: Scientific Properties of Complex Knots. He would like to acknowledge the hospitality of the University of Bristol where some of this research was carried out. AJG and IJ acknowledge support in the form of a Discovery Grant DP140101110 from the ARC (Australia). The computational work of IJ was undertaken with the assistance of resources and services from the National Computational Infrastructure (NCI), which is supported by the Australian Government.