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The diffusion behavior of an active Brownian particle (ABP) in polymersolutions is studied using Langevin dynamics simulations. We find that the longtime diffusion coefficient $D$ can show a non-monotonic dependence on theparticle size $R$ if the active force $F_{a}$ is large enough, wherein a biggerparticle would diffuse faster than a smaller one which is quitecounterintuitive. By analyzing the short time dynamics in comparison to thepassive one, we find that such non-trivial dependence results from thecompetition between persistence motion of the ABP and the length-scaledependent effective viscosity that the particle experienced in the polymersolution. \textcolor{black}{We have also introduced an effective viscosity$\eta_{\text{eff}}$ experienced by the ABP phenomenologically. Such an active$\eta_{\text{eff}}$ is found to be larger than a passive one and stronglydepends on $R$ and $F_{a}$}\textcolor{magenta}{.} In addition, we find that thedependence of $D$ on propelling force $F_{a}$ presents a well scaling form at afixed $R$ and the scaling factor changes non-monotonically with $R$. Suchresults demonstrate that active issue plays rather subtle roles on thediffusion of nano-particle in complex solutions.

Study of Active Brownian Particle Diffusion in Polymer Solutions