On the asymptotics of the finite-perimeter partition function of two-dimensional lattice vesicles

Authors
Prellberg, T Owczarek, AL
Citation
T. Prellberg et Al. Owczarek, On the asymptotics of the finite-perimeter partition function of two-dimensional lattice vesicles, COMM MATH P, 201(3), 1999, pp. 493-505
Citations number
18
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
201
Issue
3
Year of publication
1999
Pages
493 - 505
Database
ISI
SICI code
0010-3616(199904)201:3<493:OTAOTF>2.0.ZU;2-Z
Abstract
We derive the dominant asymptotic form and the order of the correction term s of the finite-perimeter partition function of self-avoiding polygons on t he square lattice, which are weighted according to their area A as q(A), in the inflated regime, q > 1. The approach q --> 1(+) of the asymptotic form is examined.