论文标题
部分可观测时空混沌系统的无模型预测
First passage in the presence of stochastic resetting and a potential barrier
论文作者
论文摘要
在存在随机重置和潜在偏见的情况下，扩散和第一次通过已引起人们的关注。我们研究一些模型，系统地进展，以了解重置的有用性。在模型的参数空间中，存在多个连续和不连续的过渡，其中重置的优势消失了。我们在分析上准确地显示了针对帐篷潜能的结果，并且在低温下与磁系统相关的四分位电位准确地显示了这些结果。我们发现，整个屏障的电势的空间不对称以及吸收边界的数量在确定过渡类型中起着至关重要的作用。
Diffusion and first passage in the presence of stochastic resetting and potential bias have been of recent interest. We study a few models, systematically progressing in their complexity, to understand the usefulness of resetting. In the parameter space of the models, there are multiple continuous and discontinuous transitions where the advantage of resetting vanishes. We show these results analytically exactly for a tent-potential, and numerically accurately for a quartic-potential relevant to a magnetic system at low temperatures. We find that the spatial asymmetry of the potential across the barrier, and the number of absorbing boundaries, play a crucial role in determining the type of transition.
