The target problem with evanescent subdiffusive traps

Details The target problem with evanescent subdiffusive traps The target problem with evanescent subdiffusive traps

2006-07-25

arxiv.org/abs/cond-mat/0607655v1

Phys. Rev. E Vol. 74, 046119 (2006)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.74.046119

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 leads to a survival probability of the target that may be go to zero or to a finite value indicating a probability of eternal survival, depending on the way in which the traps disappear with time.

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