Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents
M. T. Batchelor, D. Bennett-Wood, A. L. Owczarek
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 π/2 and π, with general mixed boundary conditions.
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