Volume 78, Number 5, June 2007
|Number of page(s)||6|
|Published online||22 May 2007|
Dynamic Boltzmann free-energy functional theory
Departamento de Física Fundamental, UNED - Apartado 60141, 28080 Madrid, Spain
Accepted: 26 April 2007
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.
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
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