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Thermophysics and Aeromechanics

2026 year, number 4

The phase equilibrium line of mercury using the Clapeyron-Clausius equation and the renormalization group

S.V. Rykov1, I.V. Kudryavtseva2, V.A. Rykov2
1Saint Petersburg State University of Industrial Technologies and Design, Saint-Petersburg, Russia
2ITMO University, Saint-Petersburg, Russia
Keywords: mercury, pressure, critical amplitude, density, heat of vaporization, average diameter, phase equilibrium line

Abstract

Based on a system of equations, including equations for the saturated vapor pressure and density, the saturated liquid density, and the ‘’apparent’’ heat of vaporization, the phase equilibrium line of mercury is described in the temperature range from the triple point to the critical point. The saturated vapor pressure line within the proposed approach satisfies the requirements of the scaling theory of the critical point, and the saturation line is developed using the Clausius-Clapeyron equation, the mean diameter, and the order parameter of the renormalization group. All of these equations are consistent with respect to critical indices and parameters. Within the proposed model of the phase equilibrium line of mercury, all components of the equations describing the vapor and liquid branches of the coexistence curve have exponents calculated using scaling theory.