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Sanjay C P1, Ashwin Joy1

  • 1Department of Physics, Indian Institute of Technology Madras, Chennai 600036, India.

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This study derives an effective temperature for particles in active matter flows, verifying the Einstein relation. The temperature depends linearly on particle diffusivity, influenced by fluid ordering.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Active matter systems exhibit complex phases like swarming and turbulence.
  • Understanding emergent properties in non-equilibrium systems is crucial.

Purpose of the Study:

  • To determine an effective temperature for particles advected in active matter flows.
  • To investigate the relationship between particle dynamics and the active fluid environment.

Main Methods:

  • Utilized a continuum model of a dense bacterial suspension.
  • Derived an exact expression for effective temperature.

Main Results:

  • Effective temperature is linear with particle diffusivity.
  • Particle mobility is higher in ordered polar fluids and lower in isotropic equilibrium fluids.
  • Direct verification of the Einstein relation in active matter flows.

Conclusions:

  • The Einstein relation holds for interacting particles in active matter.
  • The effective temperature provides insights into fluctuation-dissipation in non-equilibrium systems.