Issue
EPL
Volume 78, Number 5, June 2007
Article Number 50005
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/78/50005
Published online 22 May 2007
EPL, 78 (2007) 50005
DOI: 10.1209/0295-5075/78/50005

Dynamic Boltzmann free-energy functional theory

J. G. Anero and P. Español

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


received 23 December 2006; accepted in final form 26 April 2007; published June 2007
published online 22 May 2007

Abstract
We present a generalization of the Density Functional Theory to distributions in $\mu $-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.

PACS
05.20.-y - Classical statistical mechanics.
61.20.Gy - Theory and models of liquid structure.
66.20.+d - Viscosity of liquids; diffusive momentum transport.

© Europhysics Letters Association 2007