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Lorenzo Caprini1, Umberto Marini Bettolo Marconi

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Geometric confinement influences active suspensions with thermal noise. Analytical and numerical methods reveal a polar ordered layer near walls, generating a Casimir-like force.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Active suspensions exhibit complex behavior due to self-propulsion and thermal fluctuations.
  • Geometric confinement significantly alters the properties of physical systems.
  • Understanding the interplay between activity, noise, and confinement is crucial for designing active matter systems.

Purpose of the Study:

  • To investigate the impact of geometric confinement on the steady-state properties of a 1D active suspension.
  • To model the active force using an Ornstein-Uhlenbeck process and incorporate thermal noise.
  • To compare numerical and analytical approaches for predicting system behavior.

Main Methods:

  • Numerical integration of Langevin equations governing the active suspension.
  • Analytical solution of the associated Fokker-Planck equation under approximations.
  • Comparison of numerical and analytical results to validate predictions.

Main Results:

  • Good agreement between numerical and analytical methods.
  • The Fokker-Planck approach accurately predicts system structure in both wall and bulk regions.
  • Formation of a polar ordered layer near walls due to combined active forces and thermal noise.

Conclusions:

  • Active suspensions in confined geometries exhibit unique ordered structures.
  • The ordered layer exerts mechanical pressure on walls, leading to a Casimir-like attractive force.
  • The strength of this force depends on boundary separation and system properties.