  We propose a Monte Carlo simulation to understand electron transport in a
non-equilibrium steady state (\textit{NESS}) for the lattice Coulomb Glass
model, created by continuous excitation of single electrons to high energies
followed by relaxation of the system. Around the Fermi level, the \textit{NESS}
state approximately obeys the Fermi-Dirac statistics, with an effective
temperature ($T_{eff}$) greater than the system's bath temperature ($T$).
$T_{eff}$ is a function of $T$ and the rate of photon absorption by the system.
Furthermore, we find that the change in conductivity is only a function of
relaxation times and is almost independent of the bath temperature. Our results
indicate that the conductivity of the \textit{NESS} state can still be
characterized by the Efros-Shklovskii law with an effective temperature
$T_{eff}>T$. Additionally, the dominance of phonon-less hopping over
phonon-assisted hopping is used to explain the relevance of the hot-electron
model to the conductivity of the \textit{NESS} state.
