Optimal mean first-passage time for a Brownian searcher subjected to resetting: Experimental and theoretical results
Benjamin Besga, Alfred Bovon, Artyom Petrosyan, Satya N. Majumdar, S. Ciliberto
Abstract
The authors study the optimal mean time needed by a free diffusing Brownian particle to reach a target at a certain distance from a randomly distributed initial position in the presence of resetting. The authors compute and measure the full first-passage probability distribution and show that it displays spikes immediately after each resetting time
Topics & Concepts
First-hitting-time modelBrownian motionMeasure (data warehouse)Position (finance)MathematicsStatistical physicsDistribution (mathematics)Particle (ecology)Computer scienceMathematical analysisStatisticsPhysicsGeologyDatabaseFinanceOceanographyEconomicsDiffusion and Search Dynamicsstochastic dynamics and bifurcation