论文标题
部分可观测时空混沌系统的无模型预测
Comparing the roles of time overhead and spatial dimensions on optimal resetting rate vanishing transitions, in Brownian processes with potential bias and stochastic resetting
论文作者
论文摘要
已知随机重置的策略可以加快扩散系统中的第一个段落。因此，在最佳重置参数下将平均第一个通道时间最小化。随着泊松的重置，在外部潜力的进一步影响下，在各种模型系统中发现了最佳重置率$ r_* \至0 $（连续或不连续）中消失的过渡。在本文中，我们探讨了如何在这种情况下的不连续过渡受到其他两个因素的调节 - 第一个是空间维度，其中扩散嵌入了扩散，第二个是在重新启动之前引入的时间延迟。我们通过研究两种类型的模型来研究这些因素的效果，一种模型具有普通的漂移，另一种具有屏障，两种类型具有两个吸收边界。在障碍潜力的情况下，我们发现增加维度对过渡的影响与耐火度的增加完全相反。
The strategy of stochastic resetting is known to expedite the first passage to a target, in diffusive systems. Consequently, the mean first passage time is minimized at an optimal resetting parameter. With Poisson resetting, vanishing transitions in the optimal resetting rate $r_* \to 0$ (continuously or discontinuously) have been found for various model systems, under the further influence of an external potential. In this paper, we explore how the discontinuous transitions in this context are regulated by two other factors -- the first one is spatial dimensions within which the diffusion is embedded, and the second is the time delay introduced before restart. We investigate the effect of these factors by studying analytically two types of models, one with an ordinary drift and another with a barrier, and both types having two absorbing boundaries. In the case of barrier potential, we find that the effect of increasing dimensions on the transitions is quite the opposite of increasing refractory period.
