%0 Journal Article %1 WOS:000082778200133 %A Lee, Y %A Andrade, JS %A Buldyrev, SV %A Dokholyan, NV %A Havlin, S %A King, PR %A Paul, G %A Stanley, HE %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 1999 %I AMERICAN PHYSICAL SOC %J PHYSICAL REVIEW E %K imported %N 3 %P 3425-3428 %R 10.1103/PhysRevE.60.3425 %T Traveling time and traveling length in critical percolation clusters %V 60 %X 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 t(min) scales as t(min)similar to r(1.33), which is different from the scaling of the most probable traveling time, (t) over tilde similar to r(1.64). We also calculate the length of the path corresponding to the minimal traveling time and find l(min)similar to r(1.13) and that the most probable traveling length scales as (l) over tilde similar to r(1.21). We present the relevant distribution functions and scaling relations, S1063-651X(99)02809-3.

@article{WOS:000082778200133, abstract = {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 t(min) scales as t(min)similar to r(1.33), which is different from the scaling of the most probable traveling time, (t) over tilde similar to r(1.64). We also calculate the length of the path corresponding to the minimal traveling time and find l(min)similar to r(1.13) and that the most probable traveling length scales as (l) over tilde similar to r(1.21). We present the relevant distribution functions and scaling relations, [S1063-651X(99)02809-3].}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Lee, Y and Andrade, JS and Buldyrev, SV and Dokholyan, NV and Havlin, S and King, PR and Paul, G and Stanley, HE}, biburl = {https://www.bibsonomy.org/bibtex/246393a72c3dd848e577aad3f4958bb39/ppgfis_ufc_br}, doi = {10.1103/PhysRevE.60.3425}, interhash = {50a05e902ae13309dae776500edea32e}, intrahash = {46393a72c3dd848e577aad3f4958bb39}, issn = {1063-651X}, journal = {PHYSICAL REVIEW E}, keywords = {imported}, number = 3, pages = {3425-3428}, publisher = {AMERICAN PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Traveling time and traveling length in critical percolation clusters}, tppubtype = {article}, volume = 60, year = 1999 }