论文标题
通过本地重置和排除扩散
Diffusion with Local Resetting and Exclusion
论文作者
论文摘要
随机重置模型在许多科学学科中各种现象。当前的理解源于续签框架，该框架将经过全球重置的系统与其非排量对应物有关。但是，在交互的多体系统时，即使是涉及重置的最简单场景也会引起本地重置的概念，后者的分析属于更新方法的范围。一个主要的例子是具有排除体积相互作用的扩散粒子，它们独立地试图将其位置重置为1D晶格的起源。随着更新无效，我们采用了一种平均场方法，其有效性通过广泛的数值模拟得到了证实。新兴的图片首先阐明了相互作用与重置多体系统之间的非平凡相互作用。
Stochastic resetting models diverse phenomena across numerous scientific disciplines. Current understanding stems from the renewal framework, which relates systems subject to global resetting to their non-resetting counterparts. Yet, in interacting many-body systems, even the simplest scenarios involving resetting give rise to the notion of local resetting, whose analysis falls outside the scope of the renewal approach. A prime example is that of diffusing particles with excluded volume interactions that independently attempt to reset their position to the origin of a 1D lattice. With renewal rendered ineffective, we instead employ a mean-field approach whose validity is corroborated via extensive numerical simulations. The emerging picture sheds first light on the non-trivial interplay between interactions and resetting in many-body systems.
