Target problem with evanescent subdiffusive traps.
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.
Yuste
S B
SB
Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain.
Ruiz-Lorenzo
J J
JJ
Lindenberg
Katja
K