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Nonequilibrium hyperuniform states in active turbulence.

Rainer Backofen1, Abdelrahman Y A Altawil1, Marco Salvalaglio1,2

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Proceedings of the National Academy of Sciences of the United States of America
|June 7, 2024
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Summary
This summary is machine-generated.

Active fluids exhibit hyperuniformity, a unique spatial ordering. This study links active turbulence to hyperuniformity transitions, suggesting optimal biological strategies in nonequilibrium systems.

Keywords:
active turbulencebacterial suspensionhyperuniformity

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Area of Science:

  • Physics of complex systems
  • Soft matter physics
  • Statistical mechanics

Background:

  • Active fluids display complex spatiotemporal dynamics.
  • Hyperuniformity describes unusual large-scale homogeneity in disordered systems.
  • Active turbulence is a common state in biological and synthetic active matter.

Purpose of the Study:

  • To investigate hyperuniformity characteristics in active fluid systems.
  • To understand the relationship between active forcing, active turbulence, and hyperuniformity.
  • To explore the biological implications of nonequilibrium hyperuniform states.

Main Methods:

  • Utilizing a hydrodynamic model for active fluids.
  • Analyzing the transition between hyperuniform, nonhyperuniform, and antihyperuniform states.
  • Characterizing active turbulence and its scaling properties.

Main Results:

  • Active fluids can exhibit hyperuniformity.
  • The transition to nonhyperuniformity and antihyperuniformity is controlled by active forcing strength.
  • Signatures of Levy walks and nonuniversal diffusion were identified.

Conclusions:

  • Nonequilibrium hyperuniform states in active fluids are linked to active turbulence.
  • These states may represent optimal configurations for robustness, evasion, and foraging in biological systems.