TY  - JOUR
UR  - http://dx.doi.org/10.1103/PhysRevE.53.R2029
VL  - 53
SP  - R2029
A1  - Rios, Paolo
A1  - Caldarelli, Guido
A1  - Maritan, Amos
A1  - Seno, Flavio
JF  - Physical Review E
KW  - PACS: 05.40.+j
KW  -  02.50.-r

ID  - eprints1183
Y1  - 1996/03//
AV  - none
IS  - 3
TI  - Optimal path and directed percolation
PB  - American Physical Society
SN  - 1539-3755
N2  - An efficient transfer matrix technique is introduced to study directed optimal paths in two and three dimensions. The roughness exponent ? is 0.6325±0.0007 for the two-dimensional case and ?=0.555±0.008 for the three-dimensional one, in agreement with the recent conjecture ?=??/??, where ?? and ?? are the correlation length exponents of directed percolation. Exactly solvable examples are also analyzed.
EP  - R2032
ER  -