On the Asymptotics of the FinitePerimeter Partition Function of TwoDimensional Lattice Vesicles
Abstract
We derive the dominant asymptotic form and the order of the correction terms of the finiteperimeter partition function of selfavoiding polygons on the 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.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 1999
 DOI:
 10.1007/s002200050565
 arXiv:
 arXiv:condmat/9809156
 Bibcode:
 1999CMaPh.201..493P
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Mathematical Physics;
 Mathematics  Combinatorics
 EPrint:
 accepted for publication in Communications in Mathematical Physics