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Approximating microswimmer dynamics by active Brownian motion: Energetics and efficiency.

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Active Brownian motion models for microswimmers can significantly underestimate total energy dissipation. A new efficiency metric reveals how much energy is used for propulsion, highlighting limitations in partial system observations.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Microswimmers are essential in various biological and engineered systems.
  • Understanding their dynamics and energy expenditure is crucial for applications.
  • Active Brownian motion is a common model for microswimmer behavior.

Purpose of the Study:

  • To analyze the energy dissipation of a microswimmer.
  • To compare the real swimmer's dissipation with the active Brownian motion model.
  • To introduce a novel efficiency metric for microswimmer propulsion.

Main Methods:

  • Modeling the microswimmer using coupled overdamped Langevin equations with periodic driving.
  • Comparing energy dissipation between the detailed model and the active Brownian motion approximation.
  • Developing an efficiency parameter to quantify propulsion-related energy use.

Main Results:

  • The active Brownian motion model can substantially underestimate the total energy dissipation of the microswimmer.
  • Discrepancies arise from the inability to capture complete system dissipation through partial observation.
  • The introduced efficiency metric quantifies the fraction of dissipated energy converted into forward motion.

Conclusions:

  • Active Brownian motion is a useful but potentially incomplete model for microswimmer dynamics, especially concerning energy dissipation.
  • Careful consideration of energy dissipation and system observation is necessary for accurate microswimmer analysis.
  • The developed efficiency metric offers a valuable tool for assessing microswimmer performance.