Equation of state based on the first principles

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 f...

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Bibliographic Details
Published in:Physics of fluids (1994) 2023-04, Vol.35 (4)
Main Author: Chefranov, Sergey G.
Format: Article
Language:English
Subjects:
Energy conservation law
Equations of state
First principles
Potential energy
Virial theorem
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Summary: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.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0146403