Universality of subleading corrections for self-avoiding walks in presence of one dimensional defects

Physics – High Energy Physics – High Energy Physics - Lattice

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29 pages, latex2e

Scientific paper

10.1088/0305-4470/30/14/009

We study three-dimensional self-avoiding walks in presence of a one-dimensional excluded region. We show the appearance of a universal sub-leading exponent which is independent of the particular shape and symmetries of the excluded region. A classical argument provides the estimate: $\Delta = 2 \nu - 1 \approx 0.175(1)$. The numerical simulation gives $\Delta = 0.18(2)$.

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