It has recently been proved that, in the presence of a static absorbing trap, Sisyphus random walkers with a restart mechanism are characterized by exponentially decreasing asymptotic survival probability functions. Interestingly, in the present compact paper we prove analytically that, in the presence of a moving trap whose velocity approaches zero asymptotically in time as $v_{\text{trap}}\sim 1/t$, the survival probabilities of the Sisyphus walkers are dramatically changed into inverse power-law decaying tails.

中文翻译：

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西西弗斯在有移动陷阱的情况下随机游走

最近已经证明，在存在静态吸收陷阱的情况下，具有重启机制的 Sisyphus 随机游走者的特征是渐近生存概率函数呈指数递减。有趣的是，在目前的紧凑论文中，我们分析证明，在存在一个移动陷阱的情况下，其速度在时间上渐近接近零，如$v_{\text{陷阱}}～1/吨$，西西弗斯步行者的生存概率急剧变化为逆幂律衰减尾巴。