Peculiar scaling of self-avoiding walk contacts.
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(-tau)(c), 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.
Baiesi
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INFM-Dipartimento di Fisica, Università di Padova, I-35131 Padova, Italy. baiesi@pd.infn.it
Orlandini
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Stella
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