  Two-step dissipation is studied in supersymmetric models in which the field
in motion couples to bulk fields in the higher dimensional space. Since the
Kaluza-Klein tower of the intermediate field changes its mass-spectrum during
the evolution, there could be back-reaction from the tower. Then the system may
eventually cause significant dissipation of the kinetic energy if the tower is
coupled to light fields in the thermal bath. To see what happens in the higher
dimensional theory, we consider three models for the scenario, which are
carefully prepared. In these models the extension is obvious but it does not
disturb the original set-ups. The third model suggests that the evolution of
the volume moduli may feel significant friction from the Kaluza-Klein tower.
