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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Physics
  • Collective Behavior

Background:

  • Flocking models describe systems where individual agents align their motion.
  • The stability of ordered phases in these systems is crucial for understanding collective phenomena.
  • Previous studies have explored various aspects of flocking dynamics, but the stability of specific ordered phases remains an active area of research.

Purpose of the Study:

  • To investigate the stability of the ordered phase in flocking models characterized by a scalar order parameter.
  • To identify mechanisms that can lead to the destabilization of ordered flocking states.
  • To analytically characterize the dynamics of emergent structures within these models.

Main Methods:

  • Utilized the active Ising model, a well-established framework for studying collective behavior.
  • Employed a hydrodynamic description to capture the large-scale dynamics of the flocking system.
  • Performed analytical characterization of droplet nucleation, growth, and spread.

Main Results:

  • Demonstrated the nucleation and growth of droplets of particles moving in the reverse direction of the ordered phase.
  • Showed that these droplets exhibit self-similar growth and spread ballistically.
  • Confirmed these findings across different dimensions.

Conclusions:

  • The ordered phase in discrete-symmetry flocks is metastable in all dimensions.
  • Continuous-symmetry flocks with rotational anisotropy are also implied to be metastable.
  • These findings have significant implications for the understanding of stability in active matter systems.