Session H38 - Density Functional Theory.
ORAL session, Tuesday morning, March 23
520E, Palais des Congres
Using the hydrodynamic formulation of TDCDFT we relate the exact exchange-correlation (xc) vector potential to the xc stress tensor P^xc_\mu\nu, which, by Runge-Gross theorem, is a functional of velocity v. For small density gradients the derivation of an approximate form for P^xc_\mu\nu[v] is reduced to the solution of a universal semiclassical kinetic problem. We formulate this problem in terms of Landau Fermi-liquid theory and solve it explicitly in the regime of collective dynamics (v_Fq/ømega \ll 1, where q and ømega are the inverse characteristic length and time scales respectively). We show that xc stress tensor is a completely local nonlinear functional of two basic variables - the displacement vector and the second-rank tensor, which describes deformation of momentum space in a local noninertial frame moving with Eulerian velocity v.