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Fore-aft asymmetric flocking.

Qiu-Shi Chen1, Aurelio Patelli2,3, Hugues Chaté3,4,5

  • 1National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China.

Physical Review. E
|September 28, 2017
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Summary
This summary is machine-generated.

Fore-aft asymmetry in flocking models significantly alters collective behavior. Even weak front-favoring asymmetry creates a new "banded-liquid" phase, challenging existing models of active matter dynamics.

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Area of Science:

  • Active Matter Physics
  • Non-equilibrium Statistical Mechanics
  • Collective Behavior

Background:

  • Flocking models, like the Vicsek model, describe collective motion in systems with self-propelled agents.
  • Previous studies often assume isotropic interactions, limiting the scope of collective phenomena.
  • Fore-aft asymmetry is a common characteristic in biological and synthetic active matter.

Purpose of the Study:

  • To investigate the impact of fore-aft asymmetry on the collective properties of simple flocking models.
  • To analyze the phase diagram modifications induced by asymmetry in the Vicsek model.
  • To explore the emergence of novel phases and solutions due to directional biases.

Main Methods:

  • Modification of the Vicsek model to incorporate fore-aft asymmetry favoring front neighbors.
  • Numerical simulations to explore the phase diagram at low noise strengths.
  • Linear stability analysis at the hydrodynamic level to assess generality.

Main Results:

  • A weak fore-aft asymmetry qualitatively alters the Vicsek model's phase diagram.
  • A new region emerges at low noise, below the Toner-Tu liquid, characterized by coexisting sharp traveling band solutions.
  • A novel 'banded-liquid' phase with algebraic density distribution is identified, coexisting with band solutions.

Conclusions:

  • Fore-aft asymmetry introduces significant qualitative changes to flocking dynamics.
  • The observed phenomena, including the banded-liquid phase, are likely generic to active matter systems with asymmetry.
  • Results challenge the phase-separation scenario typically observed in isotropic flocking models.