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Broadband boundary effects on Brownian motion.

Jianyong Mo1, Akarsh Simha1, Mark G Raizen1

  • 1Center for Nonlinear Dynamics and Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2016
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Summary

Boundary effects on Brownian motion were measured for silica spheres in water. Confinement impacts both short and long timescales, altering particle dynamics and thermal forces, enabling new microscopy techniques.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Soft Matter Physics

Background:

  • Brownian motion is crucial for fluid dynamics and applications.
  • Boundary effects on particle motion in confined fluids are not fully understood across all timescales.

Purpose of the Study:

  • To comprehensively measure and understand the effects of a nearby wall on Brownian motion.
  • To investigate how surface confinement influences particle dynamics at both short and long timescales.

Main Methods:

  • Utilizing high-bandwidth measurements of an optically trapped micrometer-sized silica sphere.
  • Analyzing Brownian motion in water near an approximately flat wall.

Main Results:

  • Observed anisotropic Brownian motion at short distances from the wall.
  • Found surface confinement affects both diffusive and ballistic regimes.
  • Demonstrated faster decay of the velocity autocorrelation function compared to bulk fluid.
  • Identified that thermal force loses its 'color' at low frequencies due to no-slip boundary conditions.

Conclusions:

  • Surface confinement significantly alters Brownian motion dynamics across various timescales.
  • The observed phenomena provide insights into particle-fluid interactions near boundaries.
  • This understanding can facilitate the development of novel 3D microscopy techniques using particles as sensors.