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Waves in active matter: The transition from ballistic to diffusive behavior.

A R Dulaney1, J F Brady1

  • 1Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA.

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Summary
This summary is machine-generated.

Active systems exhibit wavelike motion due to persistent swimming, transitioning to a random walk. This study explains the dynamics and relaxation of these active Brownian particles using a theoretical framework and simulations.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Soft Matter

Background:

  • Active systems, such as swimming microorganisms or self-propelled particles, display complex dynamics distinct from passive systems.
  • Understanding the transition from directed motion to diffusive behavior is crucial for characterizing active matter.

Purpose of the Study:

  • To investigate the wavelike relaxation dynamics of active systems.
  • To elucidate the transition from ballistic to diffusive motion in active Brownian particles.
  • To analyze the influence of external fields on active particle spreading.

Main Methods:

  • Smoluchowski-based theoretical framework.
  • Brownian dynamic simulations.
  • Development of a telegraph equation to describe motion transition.
  • Kinetic modeling of particle diffusion from a line source.

Main Results:

  • Identified a unique wavelike character in active system relaxation dynamics.
  • Characterized the transition to random walk behavior with a swim diffusivity formula.
  • Explained nonmonotonicity in the intermediate scattering function.
  • Demonstrated that external fields inversely affect the decay of wavelike structures.

Conclusions:

  • The study provides a comprehensive theoretical and simulation-based understanding of active particle dynamics.
  • The findings offer insights into the relaxation processes and the impact of external forces on active matter.
  • The developed model accurately predicts particle density evolution, aligning with simulation data.