Peculiar scaling of self-avoiding walk contacts

Baiesi, Marco; Orlandini, Enzo; Stella, Attilio L.

Peculiar scaling of self-avoiding walk contacts

Authors

Baiesi, Marco

Orlandini, Enzo

Stella, Attilio L.

Description

The nearest neighbor contacts between the two halves of an N-site lattice self-avoiding walk offer an unusual example of scaling random geometry: for N going to infinity they are strictly finite in number but their radius of gyration Rc is power law distributed, ~ Rc^{-τ}, where τ>1 is a novel exponent characterizing universal behavior. A continuum of diverging lengths scales is associated to the Rc distribution. A possibly super-universal τ=2 is also expected for the contacts of a self-avoiding or random walk with a confining wall.
4 pages, 5 Postscript figures, uses psfig.sty; some sentences clarified