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| Hauptseite > Publikationsdatenbank > Motility-Induced Inter-Particle Correlations and Dynamics:a Microscopic Approach for Active Brownian Particles |
| Hauptseite > Publikationsdatenbank > Motility-Induced Inter-Particle Correlations and Dynamics:a Microscopic Approach for Active Brownian Particles |
| Conference Presentation (Plenary/Keynote) | FZJ-2022-04647 |
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2022
Abstract: Amongst the various theoretical approaches towards dynamics and phase behaviour of suspensions of active Brownian particles (ABPs), no attempt has been made to specify motility-induced inter-particle correlations. In this presentation, the derivation of explicit expressions for the pair-correlation function for ABPs for small and large swimming velocities and low concentrations is discussed. The pair-correlation function is the solution of a differential equation that is obtained from the Fokker-Planck equation for the probability density function of the positions and orientations of the ABPs, commonly referred to as the Smoluchowski equation. For large swimming Peclet numbers , the pair-correlation function is highly asymmetric. The pair-correlation function attains a large value within a small region of spatial extent 1/ near contact of the ABPs when the ABPs approach each other. The pair-correlation function is small within a large region of spatial extent 1/3 when the ABPs move apart, with a contact value that is close to zero. From the explicit expressions for the pair-correlation function, Fick's diffusion equation is generalized to include motility. It is shown that mass transport, in case of large swimming velocities, is dominated by a preferred swimming direction that is induced by concentration gradients.
Keyword(s): Basic research (1st)
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