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Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents
Authors:MT Batchelor  D Bennett-Wood  AL Owczarek
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
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
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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