Mean-field dynamical density functional theory

Abstract

We examine the out-of-equilibrium dynamical evolution of density profiles of ultrasoft particles under time-varying external confining potentials in three spatial dimensions. The theoretical formalism employed is the dynamical density functional theory (DDFT) of Marini Bettolo Marconi and Tarazona [J. Chem. Phys. {\bf 110}, 8032 (1999)], supplied by an equilibrium excess free energy functional that is essentially exact. We complement our theoretical analysis by carrying out extensive Brownian Dynamics simulations. We find excellent agreement between theory and simulations for the whole time evolution of density profiles, demonstrating thereby the validity of the DDFT when an accurate equilibrium free energy functional is employed.

8 pagers, 4 figures

References in corpus (6)

• Dynamic Density Functional Theory of Fluids
• Can Polymer Coils be modeled as "Soft Colloids"?
• Mean Field Fluid Behavior of the Gaussian Core Model
• Exact Criterion for Determining Clustering vs. Reentrant Melting Behavior for Bounded Interaction Potentials
• Fluid and solid phases of the Gaussian core model
• Microscopic theory of solvent mediated long range forces: influence of wetting

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