Regensburg 2025 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 37: Brownian Motion and Anomalous Diffusion

DY 37.7: Talk

Thursday, March 20, 2025, 16:30–16:45, H43

Random Walks of Intermittently Self-Propelled Particles — Agniva Datta¹, Carsten Beta^1,2, and •Robert Großmann¹ — ¹University of Potsdam, Potsdam, Germany — ²Kanazawa University, Kanazawa, Japan

We present 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 drawn 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. We eventually apply this modeling framework to describe bacterial swimming in polysaccharide matrices.

Keywords: anomalous transport phenomena; active motion in disordered media; stochastic models in biological physics; physics of living and active systems