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Lattice model for active flows in microchannels.

Alessandro Ravoni1, Luca Angelani2

  • 1Department of Mathematics and Physics, Roma Tre University, 00146 Rome, Italy.

Physical Review. E
|January 20, 2021
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Summary
This summary is machine-generated.

We present a lattice model of active particles in a channel, revealing oscillatory dynamics. Oscillations are suppressed by short channels or high tumbling rates, but persist with varied entrance probabilities.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Active particles exhibit complex behaviors like self-organization and emergent dynamics.
  • Run-and-tumble swimmers are a key model for active matter, driving phenomena in biological and synthetic systems.
  • Understanding particle transport in confined geometries is crucial for microfluidics and biological systems.

Purpose of the Study:

  • To introduce a one-dimensional lattice model for active particles in a channel connecting reservoirs.
  • To investigate the formation of active clusters and oscillatory dynamics of interacting run-and-tumble swimmers.
  • To analyze the influence of system parameters and physical conditions on these dynamics.

Main Methods:

  • Development of a one-dimensional lattice model simulating interacting run-and-tumble swimmers.
  • Analysis of emergent oscillatory dynamics and active cluster formation.
  • Systematic variation of parameters: channel length, swimmer number, tumbling rate, and entrance probability.

Main Results:

  • The model reproduces oscillatory dynamics observed in molecular dynamics simulations of bacteria.
  • Oscillatory behavior is suppressed below a critical channel length (L*) and above a critical tumbling rate (λ*).
  • Oscillations persist with varying entrance probabilities, though these affect oscillation properties and reservoir filling.

Conclusions:

  • The lattice model provides a simplified yet effective framework for studying active particle dynamics in confined systems.
  • Thresholds for channel length and tumbling rate govern the suppression of oscillatory behavior.
  • Entrance probability influences oscillation characteristics and reservoir dynamics, highlighting the interplay between confinement and particle activity.