Regensburg 2019 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 44: Active Matter C (joint session DY/CPP)
DY 44.7: Vortrag
Donnerstag, 4. April 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