  A model is developed to calculate the total kinetic energy (TKE) distribution
of fission fragments in the framework of the time-dependent generator
coordinate method (TDGCM), extended to include dissipation effects in the
description of induced fission dynamics. Starting from an expression for the
dissipative term in the GCM Hamiltonian that determines the time evolution of a
statistical collective wave function, derived in the first part of this work,
the integrated flux of the probability current through the scission
hyper-surface can be computed at different temperatures. The kinetic energy at
scission for a specific pair of fragments at a given temperature is determined
by the energy balance formula. By folding the kinetic energies of the fragments
with the flux of the probability current, the TKE distribution is calculated.
The method is illustrated with a calculation of the TKE distribution for
induced fission of $^{228}$Th, in the 3D space of collective coordinates:
axially-symmetric quadrupole and octupole deformations, and nuclear
temperature.
