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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Hyperuniformity describes materials with suppressed density fluctuations.
  • Non-equilibrium fluids lack thermal equilibrium, exhibiting unique dynamic properties.
  • Reciprocal activation is a mechanism to drive systems into non-equilibrium states.

Purpose of the Study:

  • To extend the concept of non-equilibrium hyperuniform fluids to closed manifolds, specifically spherical surfaces.
  • To investigate the behavior and universality class of absorbing transitions on a sphere.
  • To explore the impact of inertia on hyperuniform scaling.

Main Methods:

  • Simulating randomly organizing hyperuniform fluids on a spherical surface.
  • Analyzing structure factors and density fluctuations.
  • Investigating absorbing phase transitions and universality classes.
  • Incorporating inertial effects into the fluid model.

Main Results:

  • Random organization on a sphere exhibits behavior analogous to 2D Euclidean space.
  • Absorbing transitions on a sphere belong to the conserved directed percolation universality class.
  • Non-equilibrium hyperuniform fluids were successfully induced on a sphere.
  • Specific scaling laws for structure factors were derived for spherical hyperuniformity.
  • Inertia introduces a length scale above which hyperuniform scaling emerges.

Conclusions:

  • Non-equilibrium hyperuniform fluids can be realized on closed manifolds like spheres.
  • This approach offers a boundary-effect-free method for creating novel materials.
  • The findings contribute to understanding statistical mechanics in curved spaces.