Abstract
In the current density functional theory of linear and nonlinear time-dependent
phenomena, the treatment of exchange and correlation beyond the level
of the adiabatic local density approximation is shown to lead to
the appearance of viscoelastic stresses in the electron fluid. Complex
and frequency-dependent viscosity/elasticity coefficients are microscopically
derived and expressed in terms of properties of the homogeneous electron
gas. As a first consequence of this formalism, we provide an explicit
formula for the linewidths of collective excitations in electronic
systems.
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