Statics and dynamics of inhomogeneous liquids via the internal-energy functional

Details Statics and dynamics of inhomogeneous liquids via the internal-energy functional Statics and dynamics of inhomogeneous liquids via the internal-energy functional

2011-10-20

arxiv.org/abs/1110.4496v1

Physics

Condensed Matter

Soft Condensed Matter

9 pages, 64 formulae

Scientific paper

We give a variational formulation of classical statistical mechanics where the one-body density and the local entropy distribution constitute the trial fields. Using Levy's constrained search method it is shown that the grand potential is a functional of both distributions, that it is minimal in equilibrium, and that the minimizing fields are those at equilibrium. The functional splits into a sum of entropic, external energetic and internal energetic contributions. Several common approximate Helmholtz free energy density functionals, such as the Rosenfeld fundamental measure theory for hard sphere mixtures, are transformed to internal energy functionals. The variational derivatives of the internal energy functional are used to generalize dynamical density functional theory to include the dynamics of the microscopic entropy distribution, as is relevant for studying heat transport and thermal diffusion.

Affiliated with

Also associated with

No associations

Rating

Statics and dynamics of inhomogeneous liquids via the internal-energy functional does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Statics and dynamics of inhomogeneous liquids via the internal-energy functional, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statics and dynamics of inhomogeneous liquids via the internal-energy functional will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-551630