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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Official URL: http://dx.doi.org/10.1103/PhysRevE.53.R2029
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.
| Item Type: | Article |
|---|---|
| Identification Number: | https://doi.org/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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