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| 001 | 891971 | ||
| 005 | 20220930130314.0 | ||
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| 100 | 1 | _ | |a Dhont, Jan K. G. |0 P:(DE-Juel1)130616 |b 0 |e Corresponding author |
| 245 | _ | _ | |a Motility-Induced Inter-Particle Correlations and Dynamics: a Microscopic Approach for Active Brownian Particles |
| 260 | _ | _ | |a London |c 2021 |b Royal Soc. of Chemistry |
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| 520 | _ | _ | |a Amongst the 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 as quantified by the pair-correlation function. Here we derive expressions for the pair-correlation function for ABPs with very short-ranged direct interactions for small and large swimming velocities and low concentrations. 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. For large swimming Peclet numbers lambda, the pair-correlation function is highly asymmetric. The pair-correlation function attains a large value ~lambda within a small region of spatial extent ~1/lambda near contact of the ABPs when the ABPs approach each other. The pair-correlation function is small within a large region of spatial extent ~lambda^1/3 when the ABPs move apart, with a contact value that is essentially 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. The expression for the pair-correlation function derived in this paper could serve as a starting point to obtain approximate results for high concentrations, which could then be employed in a first-principle analysis of the dynamics and phase behaviour of ABPs at higher concentrations. |
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| 700 | 1 | _ | |a Park, Gun Woo |0 P:(DE-Juel1)173831 |b 2 |
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