Being Heterogeneous Is Advantageous: Extreme Brownian Non-Gaussian Searches

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.

References in corpus (26)

• The large deviation approach to statistical mechanics
• Superstatistics
• Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities
• Elucidating the Origin of Heterogeneous Anomalous Diffusion in the Cytoplasm of Mammalian Cells
• Diffusion-limited reactions in dynamic heterogeneous media
• Random diffusivity from stochastic equations: comparison of two models for Brownian yet non-Gaussian diffusion
• First passages for a search by a swarm of independent random searchers
• Mortality, Redundancy, and Diversity in Stochastic Search
• Two Coupled Mechanisms Produce Fickian, yet non-Gaussian Diffusion in Heterogeneous Media
• Superstatistical Brownian motion
• Universal Formula for Extreme First Passage Statistics of Diffusion
• Distribution of extreme first passage times of diffusion
• First passage statistics for diffusing diffusivity
• Fractional Brownian motion with random Hurst exponent: accelerating diffusion and persistence transitions
• Asymptotics of extreme statistics of escape time in 1,2 and 3-dimensional diffusions
• Length scales in Brownian yet non-Gaussian dynamics
• A unifying approach to first-passage time distributions in diffusing diffusivity and switching diffusion models
• Local Analysis of Heterogeneous Intracellular Transport: Slow and Fast moving Endosomes
• Is Fickian Yet Non-Gaussian Diffusion Ubiquitous?
• Non-Gaussian diffusion near surfaces
• Non-Gaussian Normal Diffusion in a Fluctuating Corrugated Channel
• Convergence to a Gaussian by narrowing of central peak in Brownian yet non-Gaussian diffusion in disordered environments
• Brownian non-Gaussian polymer diffusion and queing theory in the mean-field limit
• Polymers critical point originates Brownian non-Gaussian diffusion
• Brownian non-Gaussian diffusion of self-avoiding walks
• Being heterogeneous is disadvantageous: Brownian non-Gaussian searches

Cited by in corpus (6)

• Being heterogeneous is disadvantageous: Brownian non-Gaussian searches
• Anomalous statistics in the Langevin equation with fluctuating diffusivity: from Brownian yet non-Gaussian diffusion to anomalous diffusion and ergodicity breaking
• Two-states Brownian particle in a Harmonic Potential
• Observation-Time-Induced Crossover from Fluctuating Diffusivity
• Rare Events and Redundancy in Random Walkers Target Search in a Finite Domain
• First passage time properties of diffusion with a broad class of stochastic diffusion coefficients