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Self-aligning active agents with inertia and active torque.

Jeremy Fersula1, Nicolas Bredeche2, Olivier Dauchot3

  • 1Gulliver UMR CNRS 7083, ESPCI Paris, <a href="https://ror.org/013cjyk83">PSL Research University</a>, 10 Rue Vauquelin, 75005 Paris, France and Institut des Systèmes Intelligents et de Robotique, <a href="https://ror.org/02en5vm52">Sorbonne Université</a>, CNRS, ISIR, F-75005 Paris, France.

Physical Review. E
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Summary
This summary is machine-generated.

Inertia significantly impacts active particle dynamics with self-alignment. Negative self-aligning torque causes orbiting dynamics, while wall collisions reveal unique oscillating behaviors when both translational and rotational inertia are present.

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Area of Science:

  • Active Matter Physics
  • Non-equilibrium Statistical Mechanics
  • Soft Matter Physics

Background:

  • Common active particle models often neglect inertial effects.
  • Self-alignment couples rotational and translational dynamics.
  • Understanding inertial effects is crucial for complex active agent behavior.

Purpose of the Study:

  • To investigate inertial effects on 2D active agents with self-alignment.
  • To analyze the influence of self-aligning torque sign on particle dynamics.
  • To explore the impact of active torque and inertia on emergent behaviors.

Main Methods:

  • Deterministic analysis of active particle motion.
  • Examination of free particle dynamics under varying self-aligning torques.
  • Study of particle-wall interactions considering translational and rotational inertia.

Main Results:

  • Positive self-aligning torque with inertia preserves linear motion.
  • Negative self-aligning torque with inertia leads to chiral orbiting dynamics.
  • Wall collisions exhibit singular oscillating dynamics only when both inertias are present.

Conclusions:

  • Self-alignment introduces non-trivial dynamics, distinct from typical active particle models.
  • Inertia plays a critical role in stabilizing or destabilizing motion based on torque.
  • Both translational and rotational inertia are essential for capturing complex dynamics, especially during interactions.