Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 67: Active Matter V (joint session DY/BP/CPP)

DY 67.6: Talk

Friday, March 20, 2020, 11:15–11:30, ZEU 160

Predictive local field theory for interacting active Brownian spheres in two spatial dimensions* — Jens Bickmann and •Raphael Wittkowski — Institut für Theoretische Physik, Center for Soft Nanoscience, Westfälische Wilhelms-Universität Münster, D-48149 Münster, Germany

We present a predictive local field theory for the dynamics of interacting spherical active Brownian particles in two spatial dimensions. Alongside the general theory, which includes configurational order parameters and derivatives up to infinite order, we present reduced models that are easier to apply. We show that our theory contains popular models such as Active Model B + as special cases and that it provides explicit expressions for the coefficients occurring in these models. As further outcomes, the theory yields analytical expressions for the density-dependent mean swimming speed and the spinodal corresponding to motility-induced phase separation of the particles. The analytical predictions for the spinodal are found to be in very good agreement with the results of Brownian dynamics simulations. Furthermore, the critical point predicted by our analytical results agrees excellently with recent computational results from the literature.
*Funded by the Deutsche Forschungsgemeinschaft (DFG) – WI 4170/3-1