Surface critical exponents of self-avoiding walks and trails on a square lattice: The universality classes of the and points

Iksoo Chang, Hagai Meirovitch

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

Using the scanning method we carry out for the first time extensive simulations of trails and self-avoiding walks (SAWs) terminally attached to an adsorbing linear boundary on a square lattice. A bulk attraction energy is also defined for a self-intersection of a trail and a pair of nonbonded nearest-neighbor monomers of a SAW. The chains are simulated at the special point. Our critical exponents differ significantly from the exact values of Vanderzande, Stella, and Seno [Phys. Rev. Lett. 67, 2757 (1991)] for the model. Thus, their conjecture, that the and points belong to the same universality class, is not supported.

Original languageEnglish
Pages (from-to)2232-2235
Number of pages4
JournalPhysical Review Letters
Volume69
Issue number15
DOIs
StatePublished - 1992

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