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Hyperuniform Interfaces in Nonequilibrium Phase Coexistence.

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Long-wavelength interfacial fluctuations are suppressed in hyperuniform systems. This study reveals hyperuniform interfaces are smoother than equilibrium ones, establishing a new universality class for nonequilibrium interfaces.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Phase coexistence is fundamental in many physical systems.
  • Equilibrium interfaces are governed by capillary wave theory.
  • Hyperuniform systems exhibit suppressed long-wavelength fluctuations.

Purpose of the Study:

  • Investigate interfacial fluctuations in nonequilibrium phase coexistence.
  • Characterize the properties of interfaces in bulk hyperuniform systems.
  • Establish a theoretical framework for nonequilibrium interfaces.

Main Methods:

  • Conducting simulations of three distinct microscopic models.
  • Deriving a nonequilibrium interface equation from field theory.
  • Analyzing interfacial height fluctuations at large scales.

Main Results:

  • Demonstrating strong suppression of long-wavelength interfacial fluctuations.
  • Showing hyperuniform interfaces are universally smoother than equilibrium interfaces.
  • Predicting a distinct scaling of height fluctuations (S_{h}(k)∼|k|^{-1}) compared to equilibrium theory (S_{h}(k)∼|k|^{-2}).

Conclusions:

  • Hyperuniformity fundamentally alters interfacial behavior far from equilibrium.
  • Suppressed bulk fluctuations are key to shaping nonequilibrium interfacial dynamics.
  • Results establish a new universality class for nonequilibrium interfaces.