  We study the transient photoluminescence (PL) of photoexcited metals by
solving the Boltzmann equation considering the effects of electron-electron
(e-e) and electron-phonon (e-ph) collisions, where the e-ph coupling function
is calculated from first-principles in order to account for the energy transfer
rate between electrons and phonons accurately. We apply the present scheme to
the transient PL of silver and demonstrate that the agreement between the
theory and experiment is good, where the effect of nonequilibrium electron
distribution is significant to fit the experimental data. The effects of the
nanoscale roughness at metal surfaces and the e-e umklapp scattering on
ultrafast electron dynamics are also discussed.
