Thermo-kinetic approach of single-particles and clusters involving anomalous diffusion under viscoelastic response

TL;DR

This paper develops a thermo-kinetic model for anomalous diffusion of particles and clusters in viscoelastic media, explaining experimental observations through a non-Markovian diffusion framework with memory effects.

Contribution

It introduces a novel non-Markovian diffusion equation incorporating memory functions to describe anomalous diffusion in viscoelastic environments.

Findings

Successfully explains diffusion of Brownian particles in cytoskeletons

Models cluster-cluster aggregation behavior

Aligns with experimental data on micelle suspensions

Abstract

We present a thermo-kinetic description of anomalous diffusion of single-particles and clusters in a viscoelastic medium in terms of a non-Markovian diffusion equation involving memory functions. The scaling behaviour of these functions is analyzed by considering hydrodynamics and cluster-size space random walk arguments. We explain experimental results on diffusion of Brownian particles in the cytoskeleton, in cluster-cluster aggregation and in a suspension of micelles.