  Decoherence is a well established process for the emergence of classical
mechanics in open quantum systems. However, it can have two different origins
or mechanisms depending on the dynamics one is considering, speaking then about
intrinsic decoherence for isolated systems and environmental decoherence due to
dissipation/fluctuations for open systems. This second mechanism can not be
considered for backflow since no thermal fluctuation terms can be added in the
formalism in order to keep an important requirement for the occurrence of this
effect: only contributions of positive momenta along time should be maintained.
The purpose of this work is to analyze the backflow effect in the light of the
underlying intrinsic decoherence and the dissipative dynamics. For this goal,
we first deal with the Milburn approach where a mean frequency of the unitary
evolution steps undergone for the system is assumed. A comparative analysis is
carried out in terms of the Lindblad master equation. Second, the so-called
quantum-to-classical transition wave equation is analyzed from a linear scaled
Schr\"odinger equation which is derived and expressed in terms of a continuous
parameter covering from the quantum to the classical regime as well as all
in-between dynamical non-classical regimes. This theoretical analysis is
inspired by the Wentzel-Kramers-Brillouin approximation. And third, in order to
complete our analysis, the transition wave equation formalism is also applied
to dissipative backflow within the Caldirola-Kanai approach where the
dissipative dynamics comes from an effective Hamiltonian. In all the cases
treated here, backflow is gradually suppressed as the intrinsic decoherence
process is developing, paying a special attention to the classical limit. The
route to classicality is not unique.
