Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents |
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Authors: | MT Batchelor D Bennett-Wood AL Owczarek |
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Institution: | (1) Department of Mathematics, School of Mathematical Sciences, Australian National University, Canberra ACT 0200, Australia, AU;(2) Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria 3052, Australia, AU |
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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.
Received: 20 October 1997 / Accepted: 13 May 1998 |
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Keywords: | PACS 05 70 Jk Critical point phenomena - 64 60 Cn Statistical mechanics of model systems - 61 41 +e Polymers elastomers and plastics |
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