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

S.b Yuste and L Acedo

Physica A: Statistical Mechanics and its Applications, 2004, vol. 336, issue 3, 334-346

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 Φ(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.

Keywords: Trapping problem; Anomalous chemical kinetics; Fractional diffusion equation; Rosenstock's approximation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:336:y:2004:i:3:p:334-346

DOI: 10.1016/j.physa.2003.12.048

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