We discuss the recent attempts to generalize dynamical density functional (DDF) theory to situations where the momentum and energy transport, not necessarily associated with mass diffusion, play a role. We consider an assembly of particles described by inertial dynamics and subjected to the influence of a heat-bath. By means of a time multiple timescale analysis we derive the evolution equation for the noise-averaged density field. Remarkably, for large values of the friction parameter and/or the mass of the particles we obtain the same governing equation of DDF, and in addition we are able to compute higher-order corrections.
Beyond dynamic density functional theory: the role of inertia
Cecconi F;Melchionna S
2008
Abstract
We discuss the recent attempts to generalize dynamical density functional (DDF) theory to situations where the momentum and energy transport, not necessarily associated with mass diffusion, play a role. We consider an assembly of particles described by inertial dynamics and subjected to the influence of a heat-bath. By means of a time multiple timescale analysis we derive the evolution equation for the noise-averaged density field. Remarkably, for large values of the friction parameter and/or the mass of the particles we obtain the same governing equation of DDF, and in addition we are able to compute higher-order corrections.File in questo prodotto:
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