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

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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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Authors and Affiliations

  1. Department of Theoretical Physics, University of Manchester, Manchester M13 9PL, United Kingdom. E-mail: prel@a13.ph.man.ac.uk, , , , , , UK

    T. Prellberg

  2. Department of Mathematics, University of Melbourne, Parkville, 3052, Australia.¶E-mail: aleks@maths.mu.oz.au, , , , , , AU

    A. L. Owczarek

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  1. T. Prellberg
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  2. A. L. Owczarek
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Received: Received: 17 March 1998 / Accepted: 7 September 1998

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Prellberg, T., Owczarek, A. On the Asymptotics of the Finite-Perimeter Partition Function of Two-Dimensional Lattice Vesicles. Comm Math Phys 201, 493–505 (1999). https://doi.org/10.1007/s002200050565

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  • DOI: https://doi.org/10.1007/s002200050565

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