Motility-induced inter-particle correlations and dynamics: a microscopic approach for active Brownian particles

Abstract

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...

Pair-distribution function of active Brownian spheres in three spatial dimensions: simulation results and analytical representation

“…Our work extends the results by Jeggle et al 26 by adding a third spatial dimension, the results by Schwarzendahl et al 53 by providing the full angular dependence of the pair-distribution function, and the results by Dhont et al 56 by considering also the case of high densities. The consistency of our results with previous work is demonstrated by the agreement with ref.…”

“…Additionally, an approximate expression valid in the slow- and fast-swimming limits for the pair-distribution function of ABPs was derived by Dhont et al 56 The validity of this expression, however, is limited to packing densities below 0.1. 56 Finally, a fully orientation-resolved pair-distribution function for a wide range of activities and packing densities in two spatial dimensions has been published recently by us, 26 along with a software package that allows to reproduce this function. 57 By comparing with the results from ref.…”

Trapped-particle microrheology of active suspensions

“…Different from equation (32) in which the moment M m is coupled to M m+1 , the rank m spatial moment of P 1 only depends on lower order moments, which leads to a set of closed equations. The solution to the preceding equation provides the far-field condition for M m as given by equation (36). The zeroth-order spatial moment Φ 0 is the net orientational distribution, which is unaffected by the trap and is governed by the orientational diffusion equation:…”

“…The far-field condition as r 2 → ∞ is unchanged and given by equation (36), where Φ m for constant force satisfies…”

“…Treating the probe as one of the suspension particles, this zeroth spatial moment is the pair-correlation function of an active Brownian suspension (subject to proper normalization) in the dilute limit by neglecting all higher order correlations. Equation (76) governing the pair-correlation at steady state in 2D has been studied 35,36 .…”