%0 Conference Paper
%A Dhont, Jan K. G.
%A Briels, Willem
%A Park, Gunwoo
%T Motility-Induced Inter-Particle Correlations and Dynamics:a Microscopic Approach for Active Brownian Particles
%M FZJ-2022-04647
%D 2022
%X 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.
%B 70th Anniversary and 2022 Fall Meeting
%C 18 Oct 2022 - 21 Oct 2022, BEXCO Convention Hall, Busan, South Korea, Online (South Korea)
Y2 18 Oct 2022 - 21 Oct 2022
M2 BEXCO Convention Hall, Busan, South Korea, Online, South Korea
%F PUB:(DE-HGF)6
%9 Conference Presentation
%U https://juser.fz-juelich.de/record/911355