eprintid: 1160
rev_number: 9
eprint_status: archive
userid: 6
dir: disk0/00/00/11/60
datestamp: 2012-02-23 11:26:35
lastmod: 2014-12-05 09:35:17
status_changed: 2012-02-23 11:26:35
type: article
metadata_visibility: show
creators_name: Ball, Robin C.
creators_name: Caldarelli, Guido
creators_name: Flammini, Alessandro
creators_id: guido.caldarelli@imtlucca.it
title: Angular structure of lacunarity, and the renormalization group
ispublished: pub
subjects: QC
divisions: EIC
full_text_status: public
keywords: PACS: 64.60.Ak, 05.40.Fb
note: © 2000 American Physical Society
abstract: We formulate the angular structure of lacunarity in fractals, in terms of a symmetry reduction of the three point correlation function. This provides a rich probe of universality, and first measurements yield new evidence in support of the equivalence between self-avoiding walks (SAW's) and percolation perimeters in two dimensions. We argue that the lacunarity reveals much of the renormalization group in real space. This is supported by exact calculations for random walks and measured data for percolation clusters and SAW's. Relationships follow between exponents governing inward and outward propagating perturbations, and we also find a very general test for the contribution of long-range interactions.
date: 2000-12
date_type: published
publication: Physical Review Letters
volume: 85
number: 24
publisher: American Physical Society
pagerange: 5134-5137
id_number: 10.1103/PhysRevLett.85.5134
refereed: TRUE
issn: 0031-9007
official_url: http://dx.doi.org/10.1103/PhysRevLett.85.5134
citation:   Ball, Robin C. and Caldarelli, Guido and Flammini, Alessandro  Angular structure of lacunarity, and the renormalization group.  Physical Review Letters, 85 (24).  pp. 5134-5137.  ISSN 0031-9007      (2000)  
document_url: http://eprints.imtlucca.it/1160/1/PhysRevLett.Caldarelli_2000.pdf