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 [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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3425-3428 |
| Number of pages | 4 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 60 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1999 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
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