Yuste S B, Ruiz-Lorenzo J J, Lindenberg Katja
Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Oct;74(4 Pt 2):046119. doi: 10.1103/PhysRevE.74.046119. Epub 2006 Oct 31.
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.
我们计算了一维静止目标在随时间变化密度的扩散或次扩散陷阱包围下的生存概率。已知在恒定密度陷阱存在的情况下，目标的生存概率会以拉伸指数形式趋于零，其特定幂次由表征陷阱运动的指数决定。随时间增长的陷阱密度总是导致生存概率渐近消失。陷阱的消失导致目标的生存概率可能趋于零或趋于有限值，这表明存在永恒生存的概率，具体取决于陷阱随时间消失的方式。
