Nonlinear instability of density-independent orbital-free kinetic-energy functionals.
We study in this article the mathematical properties of a class of orbital-free kinetic-energy functionals. We prove that these models are linearly stable but nonlinearly unstable, in the sense that the corresponding kinetic-energy functionals are not bounded from below. As a matter of illustration, we provide an example of an electronic density of simple shape, the kinetic energy of which is negative.
Laboratoire Jacques-Louis Lions, Université Paris 6, Boîte Courrier 187, 75252 Paris Cedex 05, France. blanc@ann.jussieu.fr
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