Universality of subleading corrections for self-avoiding walks in presence of one dimensional defects
Sergio Caracciolo, Maria Serena Causo, Andrea Pelissetto
Abstract
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 ≈ 0.175(1). The numerical simulation gives Δ= 0.18(2).
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