Some exact results for the trapping of subdiffusive particles in one dimension
arXiv:cond-mat/0311207 · doi:10.1016/j.physa.2003.12.048
Abstract
We study a generalization of the standard trapping problem of random walk theory in which particles move subdiffusively on a one-dimensional lattice. We consider the cases in which the lattice is filled with a one-sided and a two-sided random distribution of static absorbing traps with concentration c. The survival probability Phi(t) that the random walker is not trapped by time t is obtained exactly in both versions of the problem through a fractional diffusion approach. Comparison with simulation results is made
15 pages, 2 figures
Cited by in corpus (5)
- The target problem with evanescent subdiffusive traps
- First-encounter time of two diffusing particles in confinement
- Number of distinct sites visited by a subdiffusive random walker
- Simulations for trapping reactions with subdiffusive traps and subdiffusive particles
- Random walk approach to the analytic solution of random systems with multiplicative noise - the Anderson localization problem