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

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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: $Δ= 2 ν- 1 \approx 0.175(1)$. The numerical simulation gives $Δ= 0.18(2)$.
29 pages, latex2e

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