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A Microfluidic-based Hydrodynamic Trap for Single Particles
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Nanoscale hydrodynamics near solids.

Diego Camargo1, J A de la Torre2, D Duque-Zumajo2

  • 1Facultad de Minas, Universidad Nacional de Colombia, Medellin, Colombia.

The Journal of Chemical Physics
|February 17, 2018
PubMed
Summary
This summary is machine-generated.

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This study introduces a new Dynamic Density Functional Theory (DDFT) for simple fluids interacting with solid surfaces. The developed theory incorporates momentum density, enabling the study of fluid dynamics near walls.

Area of Science:

  • Physics
  • Physical Chemistry
  • Soft Matter Physics

Background:

  • Density Functional Theory (DFT) successfully models equilibrium fluid structures.
  • Existing Dynamic DFT (DDFT) lacks a robust foundation for simple fluids near solid interfaces.
  • Diffusive dynamics are well-described, but non-diffusive dynamics in simple fluids require further development.

Purpose of the Study:

  • To derive a Dynamic Density Functional Theory (DDFT) for simple fluids in contact with solid walls.
  • To incorporate both mass and momentum density fields for a more comprehensive dynamic description.
  • To provide a theoretical framework for studying non-equilibrium dynamics of fluids at interfaces.

Main Methods:

  • Utilized the projection operator method based on the Kawasaki-Gunton operator.

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  • Derived equations for average mass and momentum density fields.
  • Modeled the solid as featureless, neglecting its internal degrees of freedom and elasticity.
  • Developed non-local hydrodynamic equations including explicit forces from the solid.

    • Main Results:

    • Introduced a DDFT framework that includes mass and momentum density fields.
    • Formulated hydrodynamic equations for simple fluids near solid surfaces.
    • Incorporated reversible forces (free energy functional, impenetrability) and irreversible forces (fluid-solid velocity interactions).
    • These forces are localized near the solid-fluid interface.

    Conclusions:

    • The derived hydrodynamic equations provide a foundation for studying dynamical regimes of simple fluids near solid objects.
    • The DDFT framework accounts for both equilibrium and dynamic interactions at the fluid-solid interface.
    • This work extends DDFT to non-diffusive dynamics relevant for simple fluids.