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The random walk of intermittently self-propelled particles

2024/06/21 by Agniva Datta, Datta, Agniva, Carsten Beta +3 · 6 citations
Engineering · Physics and Astronomy · #Biological Physics (physics.bio-ph) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Micro and Nano Robotics #Molecular Communication and Nanonetworks #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.2406.15277

openalex publication_date 2024/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state, in which self-propulsion is absent. The durations of these motility modes are derived from arbitrary waiting-time distributions. We derive the expressions for exact forms of transport characteristics like mean-square displacements and diffusion coefficients to describe such processes. Furthermore, the conditions for the emergence of sub- and superdiffusion in the long-time limit are presented. We give examples of some important processes that occur as limiting cases of our system, including run-and-tumble motion of bacteria, Lévy walks, hop-and-trap dynamics, intermittent diffusion and continuous time random walks.

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