%0 Journal Article
%T Kinetic Density Functional Theory of Freezing
%A Arvind Baskaran
%A Aparna Baskaran
%A John Lowengrub
%J Physics
%D 2013
%I arXiv
%R 10.1063/1.4900499
%X A theory of freezing of a dense hard sphere gas is presented. Starting from a revised Enskog theory, hydrodynamic equations that account for non-local variations in the density but local variations in the flow field are derived using a modified Chapman Enskog procedure. These hydrodynamic equations, which retain structural correlations, are shown to be effectively a time dependent density functional theory. The ability of this theory to capture the solid liquid phase transition is established through analysis and numerical simulations.
%U http://arxiv.org/abs/1310.6070v3