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Oleksandr Chepizhko1, Thomas Franosch1

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Microswimmers in crowded environments exhibit complex transport. Their movement transitions between localized states and diffusion, influenced by obstacle density and orbit radius, revealing critical phenomena.

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Area of Science:

  • Physics of complex systems
  • Statistical mechanics
  • Soft matter physics

Background:

  • Microswimmers operate in natural, crowded environments.
  • Interactions with obstacles significantly affect microswimmer transport properties.

Purpose of the Study:

  • To model and analyze the transport of a single ideal circle microswimmer in a 2D disordered array of obstacles.
  • To understand how obstacle density and microswimmer orbit radius influence movement patterns.

Main Methods:

  • Computer simulations of a single ideal circle swimmer model.
  • Analysis of movement on circular orbits and along obstacle surfaces.
  • Calculation of mean-square displacements and diffusivities.

Main Results:

  • Observed transitions between localized and diffusive states based on obstacle density and orbit radius.
  • Identified underlying static percolation transitions driving these state changes.
  • Determined the non-equilibrium state diagram for the microswimmer system.

Conclusions:

  • Microswimmer transport is highly sensitive to obstacle interactions, leading to distinct localized and diffusive regimes.
  • Transitions are linked to percolation phenomena, suggesting critical behavior.
  • Subdiffusive transport near transition lines indicates a dynamic critical phenomenon.