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A recently developed Shastry's formalism for energy transport is used toanalyze the temporal and spatial behaviors of the energy and heat transport inmetals under delta function excitation at the surface. Comparison withCattaneo's model is performed. Both models show the transition betweennonthermal (ballistic) and thermal (ballistic-diffusive) regimes. Furthermore,because the new model considers the discrete character of the lattice, ithighlights some new phenomena such as damped oscillations in the energytransport both in time and space. The energy relaxation of the conduction bandelectrons in metals is considered to be governed by the electron-phononscattering, and the scattering time is taken to be averaged over the Fermisurface. Using the new formalism, one can quantify the transfer from nonthermalmodes to thermal ones as energy propagates in the material and it istransformed into heat. While the thermal contribution shows a wave-front and analmost exponentially decaying behavior with time, the nonthermal part shows awave-front and a damped oscillating behavior. Two superimposed oscillations areidentified; a fast oscillation that is attributed to the nonthermal nature ofenergy transport at very short time scales and a slow oscillation thatdescribes the nature of the transition from the nonthermal regime to thethermal regime of energy transport.

Transient Energy and Heat Transport in Metals: Effect of the Discrete Character of the Lattice