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arXiv · 2403.10143

Being Heterogeneous Is Advantageous: Extreme Brownian Non-Gaussian Searches

Vittoria Sposini·Sankaran Nampoothiri·Aleksei Chechkin·Enzo Orlandini·Flavio Seno·Fulvio Baldovin
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Abstract

Redundancy in biology may be explained by the need to optimize extreme searching processes, where one or few among many particles are requested to reach the target like in human fertilization. We show that non-Gaussian rare fluctuations in Brownian diffusion dominates such searches, introducing drastic corrections to the known Gaussian behavior. Our demonstration entails different physical systems and pinpoints the relevance of diversity within redundancy to boost fast targeting. We sketch an experimental context to test our results: polydisperse systems.

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Vittoria Sposini, Sankaran Nampoothiri, Aleksei Chechkin, Enzo Orlandini, Flavio Seno, Fulvio Baldovin. 2024-03-15. Being Heterogeneous Is Advantageous: Extreme Brownian Non-Gaussian Searches. https://doi.org/10.1103/physrevlett.132.117101

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