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arxiv: cond-mat/9805148 · v1 · submitted 1998-05-13 · ❄️ cond-mat.stat-mech

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

classification ❄️ cond-mat.stat-mech
keywords surfaceboundarygeneralwedgearbitraryconditionsexponentsmixed
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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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