Active diffusion model and dynamic structure factor of self-propelled particles in a three parameters fluctuating Mittag-Leffler fluid

R.F. Rodríguez, J.R. Gomez-Solano and J. Fujioka

Physica A: Statistical Mechanics and its Applications, 2025, vol. 662, issue C

Abstract: In this work, we generalize a hydrodynamical model we have proposed in previous work to calculate analytically the time-dependent diffusion coefficient, and the light scattering structure factor of a dilute suspension of active particles self-propelling through a fluctuating linear, viscoelastic fluid. This generalization considers that the internal additive fluctuations acting on this active suspension are modeled by a three-parameter Mittag-Leffler function. We describe the dynamics of the fluctuations in terms of a generalized Langevin equation. Using a generalized Stokes-Einstein relation, we describe the behavior of the particle’s frequency-dependent diffusion coefficient and the Rayleigh component of the light scattering structure, for more general viscoelasticity than Maxwell’s exponential behavior. The behavior of these properties of the suspended particles as a function of the parameters characterizing the time-memory and the internal noise correlation is analyzed.

Keywords: Active systems; Diffusion; Non-equilibrium systems; Fluctuating hydrodynamics; Langevin equation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:662:y:2025:i:c:s0378437125000639

DOI: 10.1016/j.physa.2025.130411

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