Original title: Diffusion with two resetting points
Authors: Pedro Julián Salgado, Leonardo Dagdug, Denis Boyer
The article dives into how a wandering particle finds a target while occasionally resetting its position to one of two spots. Unlike the usual single-spot reset, the best rate for resetting isn’t smooth; it abruptly changes based on where one reset spot is located. This change disappears at a specific point, like a “liquid-gas” critical point in space positions. Interestingly, this critical point exists if the farther spot holds a certain weight within a defined range. This setup resembles a search where the particle switches between different diffusion rates, forming a basic model to explore distributed resetting. The study unveils how the particle’s behavior alters when it has two options to reset, showing unexpected transitions and critical points based on the positions of these reset spots.
Original article: https://arxiv.org/abs/2311.11897