relation: http://eprints.imtlucca.it/1183/
title: Optimal path and directed percolation
creator: Rios, Paolo
creator: Caldarelli, Guido
creator: Maritan, Amos
creator: Seno, Flavio
subject: QC Physics
description: 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.
publisher: American Physical Society
date: 1996-03
type: Article
type: PeerReviewed
identifier:   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)  
relation: http://dx.doi.org/10.1103/PhysRevE.53.R2029
relation: 10.1103/PhysRevE.53.R2029