Territory covered by N diffusing particles

@article{Larralde1992TerritoryCB,
  title={Territory covered by N diffusing particles},
  author={H. Larralde and Paul Trunfio and S. Havlin and H. Stanley and G. Weiss},
  journal={Nature},
  year={1992},
  volume={355},
  pages={423-426}
}
  • H. Larralde, Paul Trunfio, +2 authors G. Weiss
  • Published 1992
  • Mathematics
  • Nature
  • THE number of distinct sites visited by a random walker after t steps is of great interest1–21, as it provides a direct measure of the territory covered by a diffusing particle. Thus, this quantity appears in the description of many phenomena of interest in ecology13–16, metallurgy5–7, chemistry17,18 and physics19–22. Previous analyses have been limited to the number of distinct sites visited by a single random walker19–22, but the (nontrivial) generalization to the number of distinct sites… CONTINUE READING
    82 Citations
    Order statistics of Rosenstock's trapping problem in disordered media.
    • S. B. Yuste, L. Acedo
    • Physics, Medicine
    • Physical review. E, Statistical, nonlinear, and soft matter physics
    • 2003
    • 5
    • PDF
    Multiparticle trapping problem in the half-line
    • 9
    • PDF
    Survival probability and order statistics of diffusion on disordered media.
    • L. Acedo, S. B. Yuste
    • Medicine, Mathematics
    • Physical review. E, Statistical, nonlinear, and soft matter physics
    • 2002
    • 5
    • PDF
    Number of common sites visited by N random walkers.
    • S. Majumdar, M. Tamm
    • Mathematics, Physics
    • Physical review. E, Statistical, nonlinear, and soft matter physics
    • 2012
    • 8
    • PDF
    Distinct nodes visited by random walkers on scale-free networks
    • 1
    • PDF

    References

    SHOWING 1-10 OF 14 REFERENCES