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Optimal path and directed percolation

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)

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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.

Item Type: Article
Identification Number: 10.1103/PhysRevE.53.R2029
Uncontrolled Keywords: PACS: 05.40.+j, 02.50.-r
Subjects: Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 27 Feb 2012 08:49
Last Modified: 27 Feb 2012 08:49
URI: http://eprints.imtlucca.it/id/eprint/1183

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