Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 44: Active Matter C (joint session DY/CPP)

DY 44.7: Talk

Thursday, April 4, 2019, 11:45–12:00, H19

Pair-distribution function of active Brownian particles in three spatial dimensions* — •Stephan Bröker, Jens Bickmann, and Raphael Wittkowski — Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, D-48149 Münster, Germany

The pair-distribution function is a key quantity for analyzing many-particle systems. It characterizes the particle configuration and is often required when describing such systems via field theories. While for passive particles this correlation function has been extensively studied and analytical approaches exist for it, little is known about the pair-distribution function for active particles.
Therefore, based on Brownian dynamics simulations, we have determined the full pair-distribution function of a homogeneous system of spherical active Brownian particles in three spatial dimensions. The full pair-distribution function takes not only the positions, but also the orientations of the particles into account and depends additionally on the speed and mean concentration of the particles. We discuss the structure of this function and present an analytical expression that represents the function with good accuracy. In addition, we present a new field theory for active Brownian particles that uses this expression. Our results will be beneficial for future research that aims at describing the collective dynamics of active Brownian particles or at developing methods for predicting the pair-distribution function in nonequilibrium many-particle systems.
*Funded by the Deutsche Forschungsgemeinschaft (DFG) – WI 4170/3-1