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

S. B. Yuste·L. Acedo
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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

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BibTeXRIS

S. B. Yuste, L. Acedo. 2003-11-10. Some exact results for the trapping of subdiffusive particles in one dimension. https://doi.org/10.1016/j.physa.2003.12.048

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