The heating of a metal surface by ion impact is described by a coupled
electron and phonon model that follows from recent research on femtos
econd laser heating of metals. The conduction electrons of the metal a
re directly heated to very high temperature by the impinging ion and t
hen on a longer time scale transfer their energy to the lattice. This
results in very efficient heating of the lattice. These processes are
described by coupled partial differential equations for the electron a
nd lattice temperatures. The results from three-dimensional numerical
solutions of these equations are presented.