As a natural generalization of the discrete-time random walk, the continuous-time random walk (CTRW) has been applied to stochastic models with random dynamics in various fields. In this paper, we show that the deterministic alternation of two unbiased CTRWs can lead to a phenomenon similar to the Parrondo paradox, in which the asymptotic mean drift of the combined CTRW becomes positive or negative depending on the parameter values. This extends the case in which the paradox occurs due to the random combination of two CTRWs with memory shown by Montero [Phys. Rev. E 84 (2011) 051139].

中文翻译：

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具有周期性交替跳跃的连续时间随机游走中的类似 Parrondo 的行为

作为离散时间随机游走的自然推广，连续时间随机游走（CTRW）已应用于各个领域中具有随机动态的随机模型。在本文中，我们证明两个无偏 CTRW 的确定性交替会导致类似于 Parrondo 悖论的现象，其中组合 CTRW 的渐近平均漂移根据参数值而变为正或负。这扩展了蒙特罗[Phys.]所示的由于两个具有记忆的CTRW的随机组合而发生悖论的情况。修订版 E  84 (2011) 051139]。