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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 5 Issue 1 (1998) pp 139-142
Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents
M.T. Batchelor (1) (a), D. Bennett-Wood (2), A.L. Owczarek (2)
(1) Department of Mathematics, School of Mathematical Sciences, Australian National University,
Canberra ACT 0200, Australia
(2) Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria 3052, Australia
Received: 20 October 1997 / Accepted: 13 May 1998
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 $\pi/2$ and $\pi$, with general mixed boundary conditions.
PACS. 05.70.Jk Critical point phenomena - 64.60.Cn Statistical mechanics of model systems - 61.41.+e Polymers, elastomers, and plastics
(a) email: murrayb@maths.anu.edu.au
Article in PDF-Format (236 KB)
Online publication: September 11, 1998
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