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XY Model with Persistent Noise.

Xia-Qing Shi1, Hugues Chaté2,3, Benoît Mahault4,5

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Active crystals with time-correlated noise exhibit quasiordered states despite rapid correlation decay. The order-disorder transition remains Berezinskii-Kosterlitz-Thouless type, with exponents dependent on noise persistence time.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Soft Matter Physics

Background:

  • Active crystals exhibit large deformations without melting due to persistent fluctuations.
  • The 2D XY model is a fundamental model for studying phase transitions.

Purpose of the Study:

  • To investigate the behavior of a 2D XY model under time-correlated noise.
  • To understand the impact of persistent fluctuations on the quasiordered state of active crystals.
  • To analyze the order-disorder transition in this non-equilibrium system.

Main Methods:

  • Theoretical analysis of the persistent XY model.
  • Numerical simulations to study the order-disorder transition.
  • Investigation of correlation decay under time-correlated noise.

Main Results:

  • The persistent XY model maintains quasiordered states even when correlations decay faster than equilibrium allows.
  • The order-disorder transition is identified as Berezinskii-Kosterlitz-Thouless type.
  • Scaling exponents of the transition vary with the noise persistence time.

Conclusions:

  • Time-correlated noise can stabilize quasiordered states in systems like active crystals.
  • The non-equilibrium nature of the noise modifies critical exponents of the Berezinskii-Kosterlitz-Thouless transition.
  • This model provides insights into the physics of active matter and non-equilibrium phase transitions.