TY - JOUR
T1 - Traveling time and traveling length in critical percolation clusters
AU - Lee, Youngki
AU - Andrade, José S.
AU - Buldyrev, Sergey V.
AU - Dokholyan, Nikolay V.
AU - Havlin, Shlomo
AU - King, Peter R.
AU - Paul, Gerald
AU - Stanley, H. Eugene
PY - 1999
Y1 - 1999
N2 - We study traveling time and traveling length for tracer dispersion in two-dimensional bond percolation, modeling flow by tracer particles driven by a pressure difference between two points separated by Euclidean distance r. We find that the minimal traveling time [Formula Presented] scales as [Formula Presented] which is different from the scaling of the most probable traveling time, [Formula Presented] We also calculate the length of the path corresponding to the minimal traveling time and find [Formula Presented] and that the most probable traveling length scales as [Formula Presented] We present the relevant distribution functions and scaling relations.
AB - We study traveling time and traveling length for tracer dispersion in two-dimensional bond percolation, modeling flow by tracer particles driven by a pressure difference between two points separated by Euclidean distance r. We find that the minimal traveling time [Formula Presented] scales as [Formula Presented] which is different from the scaling of the most probable traveling time, [Formula Presented] We also calculate the length of the path corresponding to the minimal traveling time and find [Formula Presented] and that the most probable traveling length scales as [Formula Presented] We present the relevant distribution functions and scaling relations.
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U2 - 10.1103/PhysRevE.60.3425
DO - 10.1103/PhysRevE.60.3425
M3 - Article
C2 - 11970164
AN - SCOPUS:18344385927
SN - 1063-651X
VL - 60
SP - 3425
EP - 3428
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 3
ER -