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Near-field chemical and hydrodynamic interactions between active particles reveal stable equilibria and complex formation, phenomena missed by far-field approximations. These effects stem from self-generated chemical gradients.

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Area of Science:

  • Chemical kinetics
  • Fluid dynamics
  • Statistical mechanics

Background:

  • Understanding particle interactions is crucial in fields like soft matter physics and nanotechnology.
  • Current models often simplify interactions to far-field approximations, potentially missing key phenomena.

Purpose of the Study:

  • To investigate the nonequilibrium interaction of two chemically active particles.
  • To incorporate exact near-field chemical and hydrodynamic interactions.
  • To identify phenomena not captured by far-field approximations.

Main Methods:

  • Analysis of a dynamical system describing two interacting particles.
  • Exploration of parameter space to find fixed points.
  • Modeling of near-field chemical gradients and hydrodynamic effects.

Main Results:

  • Identified parameter regions with fixed points, indicating stable configurations.
  • Demonstrated stable equilibrium at nonzero gap sizes due to near-field effects.
  • Observed complex formation that can dissociate under noise.

Conclusions:

  • Near-field effects are critical for accurately describing active particle interactions.
  • Self-generated chemical gradients drive unique interaction behaviors.
  • The study provides insights into active matter self-assembly and dynamics.