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Dynamical density functional theory for microswimmers.

Andreas M Menzel1, Arnab Saha1, Christian Hoell1

  • 1Institut für Theoretische Physik II, Weiche Materie, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf, Germany.

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This summary is machine-generated.

We developed a new dynamical density functional theory (DDFT) for active microswimmer suspensions, accounting for hydrodynamic interactions and self-propulsion. This model reveals a novel hydrodynamic pumping state and its instability.

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Area of Science:

  • Soft Matter Physics
  • Fluid Dynamics
  • Statistical Mechanics

Background:

  • Dynamical density functional theory (DDFT) previously modeled passive colloidal suspensions and active dry particle systems.
  • Existing DDFT models did not fully capture the complex hydrodynamic interactions in active microswimmer suspensions.

Purpose of the Study:

  • To establish a unified DDFT framework for active microswimmer suspensions.
  • To investigate the emergent behaviors and hydrodynamic interactions in these systems.
  • To explore phenomena like symmetry breaking and hydrodynamic pumping.

Main Methods:

  • Derivation of a DDFT from statistical mechanics principles.
  • Introduction of minimal model microswimmers with self-propulsion and hydrodynamic interactions.
  • Simulation and analysis of microswimmer suspensions confined in a trapping potential.

Main Results:

  • Successful establishment of a DDFT for active microswimmers, incorporating passive and active hydrodynamic interactions.
  • Observation of rotational symmetry breaking and formation of a hydrodynamic pumping state.
  • Discovery of an instability within the hydrodynamic pumping state.

Conclusions:

  • The developed DDFT provides a powerful tool for studying active microswimmer systems.
  • The findings shed light on the complex collective behaviors driven by hydrodynamics.
  • The study uncovers new dynamic instabilities in active matter systems.