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Glassy dynamics in dense systems of active particles.

The Journal of chemical physics·2019
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The Einstein effective temperature can predict the tagged active particle density.

Alireza Shakerpoor1, Elijah Flenner1, Grzegorz Szamel1

  • 1Department of Chemistry, Colorado State University, Fort Collins, Colorado 80523, USA.

The Journal of Chemical Physics
|July 9, 2021
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This summary is machine-generated.

We derived an effective temperature for active particles, showing it matches the Einstein relation and holds beyond linear response. This finding is verified by simulations but fails with large length scales like those in phase separation.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Active Matter Physics

Background:

  • Interacting active particles exhibit unique statistical properties distinct from equilibrium systems.
  • Understanding particle behavior in external potentials is crucial for active matter dynamics.
  • Effective temperature is a key concept for characterizing non-equilibrium systems.

Purpose of the Study:

  • To derive a position distribution function for a tagged particle in a system of interacting active particles.
  • To investigate the concept of effective temperature in active matter systems.
  • To validate theoretical predictions using computational simulations.

Main Methods:

  • Derivation of a distribution function for a tagged active particle.
  • Analysis of the Boltzmann distribution with an effective temperature.
  • Comparison of effective temperature from distribution function and Einstein relation.
  • Verification through computer simulations of interacting active particles.

Main Results:

  • The tagged particle distribution follows a Boltzmann-like form with an effective temperature.
  • The effective temperature is consistent with the ratio of self-diffusion and mobility coefficients.
  • This effective temperature is relevant beyond the linear response regime.
  • The theory breaks down in the presence of large length scales, such as those near motility-induced phase separation.

Conclusions:

  • The effective temperature provides a unified description for tagged particle distributions and transport properties in active matter.
  • The fluctuation-dissipation ratio defines an effective temperature applicable beyond linear response.
  • The emergence of large-scale density fluctuations can limit the applicability of the derived theory.