Short-pulse heating and analytical solution to non-equilibrium heating process

Analytical solution for lattice and electron temperatures is presented for non-equilibrium energy transfer in gold substrate subjected to a time exponentially decaying short-pulse heating. The finite Lie point symmetries and similarity solution are incorporated in the analysis. Electron temperature distribution obtained from the analytical solutions is compared to its counterpart predicted from the numerical simulations. It is found that the rate of electron temperature decay in the surface region is high, which in turn, results in high rate of lattice site temperature increase due to the collisional energy transfer from the electron sub-system to the lattice-sub system.