# Target problem with evanescent subdiffusive traps.

@article{Yuste2006TargetPW, title={Target problem with evanescent subdiffusive traps.}, author={Santos B. Yuste and Juan Jesus Ruiz-Lorenzo and Katja Lindenberg}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2006}, volume={74 4 Pt 2}, pages={ 046119 } }

We calculate the survival probability of a stationary target in one dimension surrounded by diffusive or subdiffusive traps of time-dependent density. The survival probability of a target in the presence of traps of constant density is known to go to zero as a stretched exponential whose specific power is determined by the exponent that characterizes the motion of the traps. A density of traps that grows in time always leads to an asymptotically vanishing survival probability. Trap evanescence…

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