https://doi.org/10.1007/s100510050426
Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents
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
Corresponding author: a murrayb@maths.anu.edu.au
Received:
20
October
1997
Accepted:
13
May
1998
Published online: 15 September 1998
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 π, 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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
