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Area of Science:

  • Soft Matter Physics
  • Statistical Mechanics
  • Computational Physics

Background:

  • Understanding particle dynamics in confined systems is crucial for various applications.
  • Hard sphere systems exhibit complex behavior influenced by particle-particle and particle-wall interactions.
  • Confinement introduces entropic forces that significantly impact particle motion.

Purpose of the Study:

  • To analyze the dynamics of a tracer particle in a hard sphere bath confined within a channel of varying cross-section.
  • To investigate the dependence of tracer mobility on external forces versus confinement-induced entropic forces.
  • To compare simulation results with a derived one-dimensional theoretical model.

Main Methods:

  • Brownian dynamics simulations were employed to model the tracer particle's motion.
  • A constant external force was applied to the tracer particle.
  • A theoretical one-dimensional model was developed, incorporating simulation-derived interaction contributions.

Main Results:

  • Tracer mobility is significantly influenced by channel confinement, with velocity exhibiting a maximum near channel constrictions for small forces.
  • Increasing external force leads to reduced velocity modulation, indicating a deviation from linear response theory.
  • A non-constant channel section surprisingly reduces the effective friction coefficient compared to a planar channel.

Conclusions:

  • Confinement effects are dominant in determining tracer particle dynamics, especially at low external forces.
  • The derived theoretical model accurately captures behavior within the linear response regime.
  • Deviations from the model at higher forces highlight the limitations of linear response theory for strongly driven systems.