On the Asymptotics of the Finite-Perimeter Partition Function of Two-Dimensional Lattice Vesicles

Details On the Asymptotics of the Finite-Perimeter Partition Function of Two-Dimensional Lattice Vesicles On the Asymptotics of the Finite-Perimeter Partition Function of Two-Dimensional Lattice Vesicles

1998-09-10

arxiv.org/abs/cond-mat/9809156v1

Physics

Condensed Matter

Statistical Mechanics

accepted for publication in Communications in Mathematical Physics

Scientific paper

10.1007/s002200050565

We derive the dominant asymptotic form and the order of the correction terms
of the finite-perimeter partition function of self-avoiding 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.

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