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This is a set of theories in statistical mechanics that profit from the | |||
fact that the | fact that the free energy of a system can be cast as a functional of | ||
the density. That is, the density (in its usual sense of particles | the density. That is, the density (in its usual sense of particles | ||
per volume), which is a | per volume), which is a funtion of the position in inhomogeneous systems, | ||
uniquely defines the | uniquely defines the free energy. By minimizing this free energy one | ||
arrives at the true | arrives at the true free energy of the system and the equilibrium | ||
densify function. This is a mathematical theorem by ... The situation | |||
parallels the better known electronic density functional theory, | parallels the better known electronic density functional theory, | ||
in which the energy of a quantum system is shown to be a functional | in which the energy of a quantum system is shown to be a functional | ||
of the electronic density ( | of the electronic density (a theorem by Kohn and Sham.) | ||
Starting from this fact, approximations are usually made in order | Starting from this fact, approximations are usually made in order | ||
to approach the true functional of a given system. | to approach the true functional of a given system. | ||
*[[Ebner-Saam-Stroud]] | *[[Ebner-Saam-Stroud]] | ||
*[[Fundamental-measure theory]] | *[[Fundamental-measure theory]] | ||
Line 40: | Line 19: | ||
*[[Ramakrishnan-Youssouff]] | *[[Ramakrishnan-Youssouff]] | ||
*[[Weighted density approximation]] | *[[Weighted density approximation]] | ||
*[[Tarazona]] | |||
*[[Dynamical density-functional theory]] | *[[Dynamical density-functional theory]] | ||
==Interesting reading== | ==Interesting reading== | ||
#Robert Evans "Density Functionals in the Theory of Nonuniform Fluids", in "Fundamentals of Inhomogeneous Fluids" (ed. D. Henderson). Marcel Dekker. | |||
#[http://dx.doi.org/10.1146/annurev.pc.34.100183.003215 Robert G. Parr "Density Functional Theory", Annual Review of Physical Chemistry '''34''' pp. 631-656 (1983)] | |||
#[http://dx.doi.org/10.1103/PhysRevA.43.4355 C. Ebner, H. R. Krishnamurthy and Rahul Pandit "Density-functional theory for classical fluids and solids", Physical Review A '''43''' pp. 4355 - 4364 (1991)] | |||
[[category: Density-functional theory]] | [[category: Density-functional theory]] |