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Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
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Local order variations in confined hard-sphere fluids.

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Area of Science:

  • Statistical mechanics
  • Soft matter physics
  • Physical chemistry

Background:

  • Pair distributions are crucial for understanding fluid behavior in confined spaces, impacting areas like macromolecular interactions and diffusion.
  • Studying inhomogeneous fluids at the pair-distribution level is less common than for bulk fluids, despite its importance.

Purpose of the Study:

  • To theoretically analyze the anisotropic pair distributions of hard-sphere fluids confined between parallel hard surfaces.
  • To investigate the influence of confining slit width on these distributions using first-principles statistical mechanics.

Main Methods:

  • Utilized first-principles statistical mechanics for inhomogeneous fluids.
  • Introduced and studied an experimentally accessible ensemble-averaged local density correlation function.
  • Analyzed the behavior of these functions as a function of confining slit width.

Main Results:

  • Observed an alternating sequence of strongly anisotropic and more isotropic local order as the distance between confining surfaces increased.
  • Identified packing frustration of spherical particles as the cause for more isotropic local order.
  • Demonstrated a transition from anisotropic to isotropic order with increasing slit width.

Conclusions:

  • The study highlights the critical importance of examining inhomogeneous fluids at the pair-distribution level.
  • Findings provide insights into the fundamental behavior of confined fluids, relevant to physical, chemical, and biological systems.
  • The observed alternating order and packing frustration effects are key characteristics of confined fluids.