eprintid: 1183
rev_number: 7
eprint_status: archive
userid: 6
dir: disk0/00/00/11/83
datestamp: 2012-02-27 08:49:31
lastmod: 2012-02-27 08:49:31
status_changed: 2012-02-27 08:49:31
type: article
metadata_visibility: show
creators_name: Rios, Paolo
creators_name: Caldarelli, Guido
creators_name: Maritan, Amos
creators_name: Seno, Flavio
creators_id: 
creators_id: guido.caldarelli@imtlucca.it
creators_id: 
creators_id: 
title: Optimal path and directed percolation
ispublished: pub
subjects: QC
divisions: EIC
full_text_status: none
keywords: PACS: 05.40.+j, 02.50.-r

abstract: An efficient transfer matrix technique is introduced to study directed optimal paths in two and three dimensions. The roughness exponent ζ is 0.6325±0.0007 for the two-dimensional case and ζ=0.555±0.008 for the three-dimensional one, in agreement with the recent conjecture ζ=ν⊥/ν∥, where ν⊥ and ν∥ are the correlation length exponents of directed percolation. Exactly solvable examples are also analyzed.
date: 1996-03
date_type: published
publication: Physical Review E
volume: 53
number: 3
publisher: American Physical Society
pagerange: R2029-R2032
id_number: 10.1103/PhysRevE.53.R2029
refereed: TRUE
issn: 1539-3755
official_url: http://dx.doi.org/10.1103/PhysRevE.53.R2029
citation:   Rios, Paolo and Caldarelli, Guido and Maritan, Amos and Seno, Flavio  Optimal path and directed percolation.  Physical Review E, 53 (3).  R2029-R2032.  ISSN 1539-3755      (1996)