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Mode-coupling theory for active Brownian particles.

Alexander Liluashvili1, Jonathan Ónody1, Thomas Voigtmann1,2

  • 1Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt, 51170 Köln, Germany.

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Summary
This summary is machine-generated.

We developed a mode-coupling theory for active Brownian particles, revealing a unique glass transition influenced by self-propulsion and particle density. This active glass state exhibits distinct memory effects compared to passive systems.

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Area of Science:

  • Soft Matter Physics
  • Statistical Mechanics
  • Active Matter

Background:

  • Active Brownian particles (ABPs) exhibit complex dynamics driven by self-propulsion.
  • Understanding glass transitions in active systems is crucial for materials science.

Purpose of the Study:

  • To develop a mode-coupling theory (MCT) for slow dynamics of 2D spherical ABPs.
  • To predict the glass transition diagram for active matter systems.

Main Methods:

  • Integration-through-transients formalism.
  • Utilized equilibrium static structure factors of passive systems as input.
  • Mode-coupling theory (MCT) framework.

Main Results:

  • Predicted a novel idealized-glass-transition diagram in density, self-propulsion velocity, and rotational diffusivity.
  • Identified interference between persistence length and interaction length at high densities.
  • Observed distinct dynamics near the glass transition, dependent on Péclet number and persistence length separately.

Conclusions:

  • The active-MCT glass is a nonergodic state qualitatively different from passive glass.
  • Correlations of initial density fluctuations do not fully decay in the active glass.
  • Infinite memory of initial orientational fluctuations is retained in particle positions.