Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation

Version 1 : Received: 27 November 2023 / Approved: 30 November 2023 / Online: 30 November 2023 (04:28:39 CET)

A peer-reviewed article of this Preprint also exists.

Taloni, A. Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation. Fractal Fract. 2024, 8, 76. Taloni, A. Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation. Fractal Fract. 2024, 8, 76.

Abstract

We investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semiflexible polymers, fluid membranes, and fluctuating interfaces, while accounting for long-ranged hydrodynamic effects. We derive the fractional Langevin equation governing the dynamics of the active particle, as well as that of any other passive particle (or probe) bound to the elastic system. Our study explores the diffusional behavior emerging for both the active particle and a distant probe.

Keywords

active Ornstein-Uhlenbeck; generalized elastic model; fractional Langevin equation

Subject

Physical Sciences, Condensed Matter Physics

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