Technion – Israel Institute of Technology
Target search by many random walkers
The time required for a random walker to reach a target location, known as the first-passage time, is a crucial timescale for numerous phenomena ranging from diffusion-limited reactions at the molecular level to animal foraging at the macroscopic scale. In many natural systems, the first-passage processes involve many random walkers. The presence of many walkers raises several questions: How does the search time depend on the number of random walkers, their distributions, and the interaction between them? In this talk, we will answer these questions.