Peculiar Scaling of Self-Avoiding Walk Contacts
Journal Article
·
· Physical Review Letters
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{yields}{infinity} they are strictly finite in number but their radius of gyration R{sub c} is power law distributed {proportional_to}R{sup -{tau}}{sub c}, where {tau}>1 is a novel exponent characterizing universal behavior. A continuum of diverging length scales is associated with the R{sub c} distribution. A possibly superuniversal {tau}=2 is also expected for the contacts of a self-avoiding or random walk with a confining wall.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40230951
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 7 Vol. 87; ISSN 0031-9007
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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