Abstract
We apply the time-dependent current-density-functional theory to the
study of the relaxation of a closed many-electron system evolving
from a nonequilibrium initial state. We show that the self-consistent
unitary time evolution generated by the exchange-correlation vector
potential irreversibly drives the system to equilibrium. We also
show that the energy dissipated in the Kohn-Sham system, i.e., the
noninteracting system whose particle and current densities coincide
with those of the physical system under study, is related to the
entropy production in the real system.
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