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Banded phases in topological flocks.

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Area of Science:

  • Active soft matter physics
  • Statistical mechanics
  • Non-equilibrium systems

Background:

  • Flocking phase transitions are common in aligning active soft matter.
  • The role of topological versus metric interactions in these transitions is debated.
  • Previous numerical studies yielded conflicting results on transition order in topological models.

Purpose of the Study:

  • To investigate the nature of phase transitions in a Voronoi-Vicsek model with topological interactions.
  • To resolve discrepancies between theoretical predictions and numerical findings regarding transition order.
  • To provide unambiguous evidence for phase coexistence in large-scale simulations.

Main Methods:

  • Utilized a custom GPU-accelerated simulation package for million-particle-scale simulations.
  • Employed a Voronoi-Vicsek model with alignment interactions derived from an XY-like Hamiltonian.
  • Simulated in the time-continuous limit over extended time scales to ensure thermodynamic relevance.

Main Results:

  • Observed a regime of stable phase coexistence between ordered and disordered flocking phases.
  • Demonstrated that the order-disorder transition in this topological model is discontinuous.
  • Provided definitive numerical evidence supporting a first-order phase transition.

Conclusions:

  • The order-disorder transition in the studied topological flocking model is discontinuous (first-order).
  • This finding resolves inconsistencies in previous theoretical and numerical work.
  • Large-scale, time-continuous simulations are crucial for accurately characterizing phase transitions in active matter.