Biopolymer networks having a meshwork topology, e.g.,
extracellular
matrices and mucus gels, are ubiquitous. Understanding the diffusion
mechanism of self-propelled agents, including Janus colloidal particles,
through such biopolymer networks is thus of paramount importance.
Here, for the first time, we computationally explore this issue in
depth by explicitly modeling three-dimensional biopolymer networks
and performing Langevin dynamics simulations of the active diffusion
of the self-propelled tracers therein. We demonstrate that the diffusion
dynamics of the active tracers feature rich, distinct physics depending
on the mesh-to-particle size and Péclet number (Pe). When the
particle is smaller than the mesh size ratio, it moves as if in free
space with decreased mobility depending on the polymer-occupation
density and Pe. However, when the particle size is increased to be
comparable to the mesh size, the active particles explore the polymer
network via the trapping-and-hopping mechanism. If the particle is
larger than the mesh, it captures the collective viscoelastic dynamics
from the polymer network at short times and the simple diffusion of
the total system at large times. We study the trapped time distribution,
flight-length distribution, mean-squared displacement, and long-time
diffusivity on varying the Pe number and the tracer size. Finally,
we discuss the scaling behavior of the long-time diffusivity with
Pe, where we find a Pe range that yields a nontrivial power law. The
latter turns out to originate from a large fluctuation of the trapped,
activated tracers in conjugation with responsive polymer networks.