Dynamic Boltzmann free-energy functional theory

Departamento de Física Fundamental, UNED - Apartado 60141, 28080 Madrid, Spain

Received: 23 December 2006
Accepted: 26 April 2007

Abstract

We present a generalization of the Density Functional Theory to distributions in μ-space rather than in configuration space. This equilibrium theory is the basic ingredient for constructing a dynamic theory with projection operators. The reversible part of the dynamics is computed exactly while the irreversible part is approximated with a fast momentum relaxation assumption. As a result the irreversible operator is given in terms of a viscosity tensor. We show that the kinetic equation has an H-theorem.