Abstract
We present a new approach to the isothermal equation of state for solids when subjected to high pressures. The central point lies in the fact that the solid subjected to high pressures presents non-linear elastic behavior. We show how the connection between the q-deformed finite deformation theory and the mathematical formalism of Non-Extensive Statistical Mechanics, as postulated by Tsallis [1], allows us to achieve a q-deformed equation of state. We also establish the associated q-deformed interatomic potential and discuss its relation to the Grüneisen parameter.
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