Collective dynamics of active Brownian particles in three spatial dimensions: A predictive field theory
Jens Bickmann, Raphael Wittkowski
Abstract
This work presents a predictive field theory and simpler reduced models for the dynamics of interacting active Brownian spheres in three spatial dimensions. The authors apply it to relate coefficients of models from the literature to microscopic parameters and to derive analytic expressions for the particles' density-dependent mean swimming speed.
Topics & Concepts
Statistical physicsBrownian motionPhysicsDynamics (music)Work (physics)Field (mathematics)Classical mechanicsMathematicsSPHERESMean field theoryMathematical modelBrownian dynamicsStochastic processMathematical analysisField theory (psychology)Active matterMicro and Nano Roboticsstochastic dynamics and bifurcationCharacterization and Applications of Magnetic Nanoparticles