General dynamical density functional theory for classical fluids

B.D. Goddard; A. Nold; N. Savva; S. Kalliadasis; G.A. Pavliotis

doi:10.1103/PhysRevLett.109.120603

General dynamical density functional theory for classical fluids

B.D. Goddard, A. Nold, N. Savva, S. Kalliadasis, G.A. Pavliotis

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the dynamics of a colloidal fluid including inertia and hydrodynamic interactions, two effects which strongly influence the nonequilibrium properties of the system. We derive a general dynamical density functional theory which shows very good agreement with full Langevin dynamics. In suitable limits, we recover existing dynamical density functional theories and a Navier-Stokes-like equation with additional nonlocal terms.

Original language	English
Article number	120603
Number of pages	5
Journal	Physical Review Letters
Volume	109
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevLett.109.120603
Publication status	Published - 18 Sept 2012

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10.1103/PhysRevLett.109.120603

General Dynamical Density Functional Theory for Classical FluidsFinal published version, 407 KB

http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.120603

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title = "General dynamical density functional theory for classical fluids",

abstract = "We study the dynamics of a colloidal fluid including inertia and hydrodynamic interactions, two effects which strongly influence the nonequilibrium properties of the system. We derive a general dynamical density functional theory which shows very good agreement with full Langevin dynamics. In suitable limits, we recover existing dynamical density functional theories and a Navier-Stokes-like equation with additional nonlocal terms.",

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AU - Kalliadasis, S.

AU - Pavliotis, G.A.

PY - 2012/9/18

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AB - We study the dynamics of a colloidal fluid including inertia and hydrodynamic interactions, two effects which strongly influence the nonequilibrium properties of the system. We derive a general dynamical density functional theory which shows very good agreement with full Langevin dynamics. In suitable limits, we recover existing dynamical density functional theories and a Navier-Stokes-like equation with additional nonlocal terms.

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General dynamical density functional theory for classical fluids

Abstract

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Fluid structure in the immediate vicinity of an equilibrium three-phase contact line and assessment of disjoining pressure models using density functional theory

Multi-species dynamical density functional theory

Unification of dynamic density functional theory for colloidal fluids to include inertia and hydrodynamic interactions: Derivation and numerical experiments

2DChebClass

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General dynamical density functional theory for classical fluids

Abstract

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Research output

Fluid structure in the immediate vicinity of an equilibrium three-phase contact line and assessment of disjoining pressure models using density functional theory

Multi-species dynamical density functional theory

Unification of dynamic density functional theory for colloidal fluids to include inertia and hydrodynamic interactions: Derivation and numerical experiments

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2DChebClass

Cite this