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)Full text not available from this repository.
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.
|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|
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