Some exact results for the trapping of subdiffusive particles in one dimension

Details Some exact results for the trapping of subdiffusive particles in one dimension Some exact results for the trapping of subdiffusive particles in one dimension

2003-11-10

arxiv.org/abs/cond-mat/0311207v1

Physica A, Volume 336, Issues 3-4, 15 May 2004, Pages 334-346

Physics

Condensed Matter

Statistical Mechanics

15 pages, 2 figures

Scientific paper

10.1016/j.physa.2003.12.048

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

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