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 --> infinity they are strictly finite in number but their radius of gyration R-c is power law distributed proportional to R-c(-tau), where tau > 1 is a novel exponent characterizing universal behavior. A continuum of diverging length scales is associated with the R-c distribution. A possibly superuniversal tau= 2 is also expected for the contacts of a self-avoiding or random walk with a confining wall.

Peculiar scaling of self-avoiding walk contacts

BAIESI, MARCO;ORLANDINI, ENZO;STELLA, ATTILIO
2001

Abstract

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 --> infinity they are strictly finite in number but their radius of gyration R-c is power law distributed proportional to R-c(-tau), where tau > 1 is a novel exponent characterizing universal behavior. A continuum of diverging length scales is associated with the R-c distribution. A possibly superuniversal tau= 2 is also expected for the contacts of a self-avoiding or random walk with a confining wall.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2460950
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