title: Target problem with evanescent subdiffusive traps.
abstract: 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 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.
authors.affiliation: Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain.
authors.forename: S B
authors.initials: SB
authors.lastname: Yuste
authors.forename: J J
authors.initials: JJ
authors.lastname: Ruiz-Lorenzo
authors.forename: Katja
authors.initials: K
authors.lastname: Lindenberg