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Dynamical density functional theory for colloidal dispersions including hydrodynamic interactions.

M Rex1, H Löwen

  • 1Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany. rexm@thphy.uni-duesseldorf.de

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This summary is machine-generated.

A new dynamical density functional theory (DDFT) accounts for hydrodynamic interactions in Brownian dynamics. This theory accurately predicts colloid behavior in optical traps, showing hydrodynamics slow down cluster dynamics.

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Area of Science:

  • Soft Matter Physics
  • Statistical Mechanics
  • Colloid Science

Background:

  • Brownian dynamics simulations are crucial for understanding particle behavior.
  • Existing dynamical density functional theory (DDFT) often neglects hydrodynamic interactions.
  • Accurately modeling these interactions is key for complex colloidal systems.

Purpose of the Study:

  • To derive a DDFT for translational Brownian dynamics that incorporates hydrodynamic interactions.
  • To validate the new DDFT by comparing its predictions with Brownian dynamics simulations.
  • To investigate the effect of hydrodynamic interactions on colloid dynamics in optical traps.

Main Methods:

  • Derivation of DDFT based on Smoluchowski's equation, including pairwise hydrodynamic interactions.
  • Application to hard-sphere colloids in an oscillating optical trap.
  • Utilizing Rosenfeld's fundamental measure theory and Rotne-Prager hydrodynamics.

Main Results:

  • The derived DDFT accurately predicts time-dependent density profiles, showing excellent agreement with Brownian dynamics simulations.
  • Hydrodynamic interactions were found to significantly damp and slow down the dynamics of confined colloid clusters.
  • The theory reduces to the simpler Marconi and Tarazona DDFT when hydrodynamic interactions are neglected.

Conclusions:

  • The developed DDFT provides a robust framework for studying colloidal systems with hydrodynamic interactions.
  • Hydrodynamic effects play a critical role in the dynamics of confined colloidal suspensions.
  • This work offers a computationally efficient method for simulating complex colloidal behavior.