Abstract:
The behavior of an ideal crystal during fast heating when the settled life time of particles is substantially larger than the characteristic time of changing temperature is considered. A calculation model is a crystal with a simple cubic lattice, in which the interaction between particles is described by the Lenard–Jones potential. Disordering of the crystal on heating is considered to be a result of the formation of vacancies. Vacancies are shown to form during fast heating only in the case if the temperature is higher than a critical temperature $T_C$. An equation of state describing the behavior of a crystal with vacancies during fast heating has been derived. It is found that there is a temperature at which the crystal lattice losses the mechanical stability. This temperature is identified as the melting temperature on fast heating.
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