  Simulation results of the thermal conductivity ${\cal L}$ of Dissipative
Particle Dynamics model with Energy Conservation (DPDE) are reported. We also
present an analysis of the transport equations and the transport coefficients
for DPDE based on a local equilibrium approximation. This approach is valid
when the particle-particle thermal conductivity $\lambda$ and the friction
coefficient $\zeta$ are large. A qualitative derivation of the scaling form of
the kinetic contribution of the transport of energy is derived, yielding two
different forms for the kinetic contribution to the heat transport, depending
on the value of $\lambda$. We find agreement between the theoretically
predicted value for ${\cal L}$ and the simulation results, for large $\lambda$
and many particles interacting at one time. Significant differences are found
for small number of interacting particles, even with large $\lambda$. For
smaller values of $\lambda$, the obtained macroscopic thermal conductivity is
dominated by diffusive transport, in agreement with the proposed scaling form.
