The critical surface fugacity of self-avoiding walks on a rotated honeycomb lattice
Journal of Physics A: Mathematical and Theoretical, ISSN: 1751-8113, Vol: 47, Issue: 7
2014
- 3Citations
- 2Captures
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Article Description
In a recent paper by Beaton et al, it was proved that a model of self-avoiding walks on the honeycomb lattice, interacting with an impenetrable surface, undergoes an adsorption phase transition when the surface fugacity is . Their proof used a generalization of an identity obtained by Duminil-Copin and Smirnov, and confirmed a conjecture of Batchelor and Yung. We consider a similar model of self-avoiding walk adsorption on the honeycomb lattice, but with the lattice rotated by π/2. For this model there also exists a conjecture for the critical surface fugacity, made in 1998 by Batchelor, Bennett-Wood and Owczarek. Using similar methods to Beaton et al, we prove that this is indeed the critical fugacity. © 2014 IOP Publishing Ltd.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84893525137&origin=inward; http://dx.doi.org/10.1088/1751-8113/47/7/075003; https://iopscience.iop.org/article/10.1088/1751-8113/47/7/075003; https://dx.doi.org/10.1088/1751-8113/47/7/075003; https://validate.perfdrive.com/fb803c746e9148689b3984a31fccd902/?ssa=22092b61-847a-496d-86ef-5f0fcceecfae&ssb=83911202641&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F1751-8113%2F47%2F7%2F075003&ssi=ef9568cd-8427-4385-8c6b-8a6f1b2e2b41&ssk=support@shieldsquare.com&ssm=9064416109773818144297457273564682&ssn=97e1b6b6db47d324522b70539ccb03cc345da8b91149-14d5-48cc-a97f40&sso=2841ffda-70752116f6f6011f073cea53c0a4ea7fdf9e3a7f3de5cb91&ssp=97681913841715417351171569887311528&ssq=94511132586421411832099121876415779313588&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJ1em14IjoiN2Y5MDAwOTg4YWI3YWEtZTU1ZS00OTBmLTkxZDEtNTdjNTRlNzk4ZGQ2Mi0xNzE1NDk5MTIxMzEyMTI2NzQyNzYxLWJkMzQyMjcxZjM1NWEwNzA0NDI5IiwicmQiOiJpb3Aub3JnIiwiX191em1mIjoiN2Y2MDAwZjIyZmFjMGEtNjQ5Mi00ZDg0LWJkNzEtNTE0YjM4ZTgyMGE3MTcxNTQ5OTEyMTMxMjEyNjc0Mjc2MS00M2NhMjgzODY4YTc4ZGVhNDQyOSJ9
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