Dynamic density functional theory versus Kinetic theory of simple fluids

Abstract

By combining methods of kinetic and density functional theory, we present a description of molecular fluids which accounts for their microscopic structure and thermodynamic properties as well as for the hydrodynamic behavior. We focus on the evolution of the one particle phase space distribution, rather than on the evolution of the average particle density, which features in dynamic density functional theory. The resulting equation can be studied in two different physical limits: diffusive dynamics, typical of colloidal fluids without hydrodynamic interaction, where particles are subject to overdamped motion resulting from the coupling with a solvent at rest, and inertial dynamics, typical of molecular fluids. Finally, we propose an algorithm to solve numerically and efficiently the resulting kinetic equation by employing a discretization procedure analogous to the one used in the Lattice Boltzmann method.

15 pages

References in corpus (3)

• Dynamical density functional theory for molecular and colloidal fluids: a microscopic approach to fluid mechanics
• Lattice Boltzmann method for inhomogeneous fluids
• Theory of thermostatted inhomogeneous granular fluids: a self-consistent density functional description

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• Stabilized Lattice Boltzmann-Enskog method for compressible flows and its application to one and two-component fluids in nanochannels
• Kinetic Density Functional Theory: A microscopic approach to fluid mechanics
• Weighted density Lattice Boltzmann approach to fluids under confinement
• Hydrodynamics of simple active liquids: the emergence of velocity correlations