Mathematical Modeling of Graphite-to-Diamond Transition
  The energetic evaluations of graphite-to-diamond transition by electron irradiation are performed. The heat conduction problem is solved for the diamond synthesis when a pulse-periodic source of energy is located within a graphite cylinder; time dependences of temperature and pressure are found. It is shown, that the temperatures and pressures implemented in graphite are sufficient for graphite-to-diamond transition under electron bombardment. 
E.M. Sarkisyan, K.B. Oganesyan, N.Sh. Izmailian, E.A. Ayryan
cond-mat.mtrl-sci