Effect of polydispersity on the dynamics of active Brownian particles
Autor: | Kumar, Sameer, Singh, Jay Prakash, Giri, Debaprasad, Mishra, Shradha |
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Rok vydání: | 2021 |
Předmět: | |
Zdroj: | Phys. Rev. E 104, 024601 (2021) |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevE.104.024601 |
Popis: | 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 $\phi$, and the response of the system for polydispersity is the same for all $\phi$'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. Comment: 8 pages, 10 figures |
Databáze: | arXiv |
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