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Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents

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Abstract:

We provide general formulae for the configurational exponents of an arbitrary polymer network connected to the surface of an arbitrary wedge of the two-dimensional plane, where the surface is allowed to assume a general mixture of boundary conditions on either side of the wedge. We report on a comprehensive study of a linear chain by exact enumeration, with various attachments of the walk's ends to the surface, in wedges of angles and , with general mixed boundary conditions.

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Authors and Affiliations

  1. Department of Mathematics, School of Mathematical Sciences, Australian National University, Canberra ACT 0200, Australia, , , , , , AU

    M.T. Batchelor

  2. Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria 3052, Australia, , , , , , AU

    D. Bennett-Wood & A.L. Owczarek

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  1. M.T. Batchelor
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  2. D. Bennett-Wood
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  3. A.L. Owczarek
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Received: 20 October 1997 / Accepted: 13 May 1998

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Batchelor, M., Bennett-Wood, D. & Owczarek, A. Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents. Eur. Phys. J. B 5, 139–142 (1998). https://doi.org/10.1007/s100510050426

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  • DOI: https://doi.org/10.1007/s100510050426

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