Lifetime of a target in the presence of N independent walkers
arXiv:1005.0733 · doi:10.1016/j.physa.2010.04.025
Abstract
We study the survival probability of an immobile target in presence of N independent diffusing walkers. We address the problem of the Mean Target Lifetime and its dependence on the number and initial distribution of the walkers when the trapping is perfect or imperfect. We consider the diffusion on lattices and in the continuous space and we address the bulk limit corresponding to a density of diffusing particles and only one isolated trap. Also, we use intermittent motion for optimization of search strategies.
arXiv comment18 pages, 5 figures. Accepted for publication in Physica A.
References in corpus (7)
- Capture of the Lamb: Diffusing Predators Seeking a Diffusing Prey
- Kinetics of stochastically-gated diffusion-limited reactions and geometry of random walk trajectories
- Kinetics of a Diffusive Capture Process: Lamb Besieged by a Pride of Lions
- Intermittent random walks for an optimal search strategy: One-dimensional case
- Diffusion, dimensionality and noise in transcriptional regulation
- Bulk-mediated surface diffusion on a cylinder: propagators and crossovers
- Number of distinct sites visited by a subdiffusive random walker