On the random search for a randomly moving particle

Abstract

ABSTRACTThis paper discusses some methods based on the random search problem over the bound domain. The particle moves randomly with a bounded two-dimensional stochastic process in a bounded area. The physical phenomenon determines the boundaries of this area. We have a smart nanosensor tracks randomly for this particle. The necessary condition that maximizes the probability of the first meeting time between the nanosensor and the particle is derived.

Keywords

• Statistical physics
• bounded stochastic process
• random tracking method
• meeting probability
• wiener process