Adsorbing staircase polygons subject to a force

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 polygo...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 50; no. 49; pp. 494001 - 494022
Main Author Beaton, Nicholas R
Format Journal Article
LanguageEnglish
Published IOP Publishing 08.12.2017
Subjects
adsorption
lattice paths
polygons
polymers
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Summary: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' adsorbed-ballistic phase.
Bibliography:JPhysA-108694.R1
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aa922f