  Employing the quadratic fermionic Hamiltonians for the collective and
internal subsystems with a linear coupling, we studied the role of fermionic
statistics on the dynamics of the collective motion. The transport coefficients
are discussed as well as the associated fluctuation-dissipation relation. Due
to different nature of the particles, the path to equilibrium is slightly
affected. However, in the weak coupling regime, the time-scale for approaching
equilibrium is found to be globally unchanged. The Pauli-blocking effect can
modify the usual picture in open quantum system. In some limits, contrary to
boson, this effect can strongly hinder the influence of the bath by blocking
the interacting channels.
