Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents

Research Report MRR97-037

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 $\pi/2$ and $\pi$ , with general mixed boundary conditions.

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