98-597 Thomas Prellberg, Aleksander L. Owczarek

On the Asymptotics of the Finite-Perimeter Partition Function of Two-Dimensional Lattice Vesicles (306K, pdf) Sep 11, 98

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Abstract. 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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