Abstract
We give a geometric interpretation of the thermodynamic potential, free and internal energy, and enthalpy in terms of a Lagrangian manifold in the phase space of pairs (T, −S), (−µ, N), and (P, V) of intensive and extensive variables. The Lagrangian manifold is viewed as the dequantization of the tunnel canonical operator. With this approach, the critical point is a point where the equilibrium quasi-static process described by the Carathéodory axioms is violated. For a hard liquid with negative pressure, we present a model of a multi-modulus medium.
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Maslov, V.P. Violation of Carathéodory axioms at the critical point of a gas. Frenkel point as the critical point of the transition “liquid-amorphous solid” in the region of negative pressures. Math Notes 96, 977–982 (2014). https://doi.org/10.1134/S0001434614110364
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DOI: https://doi.org/10.1134/S0001434614110364