Optimal mean first-passage time for a Brownian searcher subjected to resetting: Experimental and theoretical results

@article{Besga2020OptimalMF,
  title={Optimal mean first-passage time for a Brownian searcher subjected to resetting: Experimental and theoretical results},
  author={B. Besga and Alfred Bovon and A. Petrosyan and S. Majumdar and S. Ciliberto},
  journal={arXiv: Statistical Mechanics},
  year={2020}
}
We study experimentally and theoretically the optimal mean time needed by a free diffusing Brownian particle to reach a target at a distance L from an initial position in the presence of resetting. Both the initial position and the resetting position are Gaussian distributed with width $\sigma$. We derived and tested two resetting protocols, one with a periodic and one with random (Poissonian) resetting times. We computed and measured the full first-passage probability distribution that… Expand

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