Time-dependent Density Functional Theory and Its Application to Liquid Dynamics

The density functional theory for classical (equilibrium) statistical mechanics is generalized so that one can discuss various dynamical processes associated with density fluctuations in liquids. This is effected by deriving a Langevin-diffusion equation for the density field, which satisfies a novel H-theorem. As applications of our theory we consider density fluctuations in both supercooled liquids and molecular liquids, interface dynamics and transport coefficients.