We study dynamics of harmonic oscillators system with continuously distributed frequencies irradiated by femtosecond laser pulse. This system is applied to the description of vertical transitions with conservation of the quasi-momentum between different branches of the conduction band at those points of the Brilloin zone at which the effective heating is possible. The model can be applied for the estimation of the high-energy tail of the electron distribution in insulators at intensities under optical breakdown. Analytic solution for electron energy distribution in oscillators system after heating by femtosecond laser pulse is obtained. It is shown that at laser field intensities above 3 TW/cm$^2$ with photon energy of 1.55 eV and pulse duration of 40 fs the electrons with energy above 10 eV are appeared.
$^1$Faculty of Physics, Lomonosov Moscow State University, Leninskie Gory, Moscow, 119991, Russia
$^2$Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Leninskie Gory, Moscow, 119991, Russia