An efficient transfer matrix technique is introduced to study directed optimal paths in two and three dimensions. The roughness exponent [Formula Presented] is 0.6325±0.0007 for the two-dimensional case and [Formula Presented] for the three-dimensional one, in agreement with the recent conjecture [Formula Presented], where [Formula Presented] and [Formula Presented] are the correlation length exponents of directed percolation. Exactly solvable examples are also analyzed. © 1996 The American Physical Society.
Autori: | ||
Data di pubblicazione: | 1996 | |
Titolo: | Optimal path and directed percolation | |
Rivista: | PHYSICAL REVIEW E | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevE.53.R2029 | |
Volume: | 53 | |
Appare nelle tipologie: | 2.1 Articolo su rivista |
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