Effect of polydispersity on the dynamics of active Brownian particles

Abstract

We numerically study the dynamics and the phases of self-propelled disk-shaped particles of different sizes with soft repulsive potential in two dimensions. Size diversity is introduced by the polydispersity index (PDI) $\epsilon$, which is the width of the uniform distribution of the particle's radius. The self-propulsion speed of the particles controls the activity $v$. We observe enhanced dynamics for large size diversity among the particles. We calculate the effective diffusion coefficient $D_{eff}$ in the steady-state. The system exhibits four distinct phases, jammed phase with small $D_{eff}$ for small activity and liquid phase with enhanced $D_{eff}$ for large activity. The number fluctuation is larger and smaller than the equilibrium limit in the liquid and jammed phase, respectively. Further, the jammed phase is of two types: solid-jammed and liquid jammed for small and large PDI. Whereas the liquid phase is called motility induced phase separation (MIPS)-liquid for small PDI and for large PDI, we find enhanced diffusivity and call it the {\em pure liquid} phase. The system is studied for three packing densities $\varphi$, and the response of the system for polydispersity is the same for all $\varphi$'s. Our study can help understand the behavior of cells of various sizes in a tissue, artificial self-driven granular particles, or living organisms of different sizes in a dense environment.

8 pages, 10 figures

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• Effects of Polydispersity on the Plastic Behaviors of Dense 2D Granular Systems Under Shear
• Active-matter isomorphs in the size-polydisperse Ornstein-Uhlenbeck Lennard-Jones model
• Percolation transitions in the binary mixture of active Brownian particles with different softness
• Active-parameter polydispersity in the 2d ABP Yukawa model
• Mobility-induced phase separation in a binary mixture of active Brownian particles
• Effective single component description of steady state structures of passive particles in an active bath
• Nonaffine motion in flowing highly polydisperse granular media