Peculiar scaling of self-avoiding walk contacts

Details Peculiar scaling of self-avoiding walk contacts Peculiar scaling of self-avoiding walk contacts

2001-04-11

arxiv.org/abs/cond-mat/0104201v2

Phys. Rev. Lett. 87, 070602 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 Postscript figures, uses psfig.sty; some sentences clarified

Scientific paper

10.1103/PhysRevLett.87.070602

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^{-\tau}, where \tau>1 is a novel exponent characterizing universal behavior. A continuum of diverging lengths scales is associated to the Rc distribution. A possibly super-universal \tau=2 is also expected for the contacts of a self-avoiding or random walk with a confining wall.

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