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Equation of state based on the first principles

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An alternative to the well-known complete form of the Mie–Grüneisen equation of state (EOS) for water is suggested. A closed analytical description of the self-consistent EOS for an arbitrary medium… Click to show full abstract

An alternative to the well-known complete form of the Mie–Grüneisen equation of state (EOS) for water is suggested. A closed analytical description of the self-consistent EOS for an arbitrary medium based only on the first law of thermodynamics and on a new form of virial theorem is obtained. This form of the virial theorem (allowing a variable power-law exponent of the particles interaction potential) is a result of the generalization of the known method of similarity [Feynman et al., “Equation of state of elements based on the generalized Fermi–Thomas theory,” Phys. Rev. 75, 1561 (1949)]. In the new EOS, the description of the internal potential energy as a solution of a nonlinear Riemann–Hopf type equation is proposed.

Keywords: state; state based; first principles; equation state; based first

Journal Title: Physics of Fluids
Year Published: 2022

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