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Flocking in one dimension: Asters and reversals.

Brieuc Benvegnen1, Hugues Chaté1,2,3, Pavel L Krapivsky4,5

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The one-dimensional active Ising model exhibits flocking and aster phases with localized structures, not homogeneous order. Researchers analyzed aggregate dynamics and coarsening using simulations and theory.

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Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Active matter physics

Background:

  • The active Ising model describes systems where individual particle motion is influenced by their orientation.
  • Understanding phase transitions and emergent behaviors in low-dimensional active matter is crucial.

Purpose of the Study:

  • To investigate the phase diagram and emergent collective behaviors of the one-dimensional active Ising model.
  • To characterize the dynamics, shape evolution, and coarsening of localized structures within this model.

Main Methods:

  • Numerical simulations were employed to explore the model's parameter space.
  • Mean-field theory was utilized to analyze aggregate shapes and dynamics.
  • Exact solutions for zero-temperature dynamics elucidated coarsening mechanisms.

Main Results:

  • A phase diagram was mapped, revealing a disordered phase and two distinct dense phases: flocking and aster.
  • The flocking phase features mobile, ordered aggregates with stochastic reversals.
  • The aster phase consists of stationary, oppositely magnetized aggregates with particle exchange.

Conclusions:

  • The one-dimensional active Ising model does not exhibit homogeneous order but displays complex localized structures.
  • Flocking and aster phases represent novel emergent phenomena driven by particle activity and alignment.
  • The study provides insights into coarsening dynamics and shape selection in active matter systems.