Vol. 46 No. 3 (2007)
Articles

An equation of state for more than two phases, with an application to the Earth’s mantle

Published 2007-07-01

Keywords

  • Ecuación de estado,
  • fases,
  • energías no aditivas,
  • energias binarias,
  • isotermas
  • Equation of state,
  • phases,
  • non-additive energies,
  • additive binary energies,
  • isotherms

How to Cite

Robles-Dominguez, J. A. M., Robles-Gutiérrez, J. A., & Lomnitz, C. (2007). An equation of state for more than two phases, with an application to the Earth’s mantle. Geofísica Internacional, 46(3), 155-161. https://doi.org/10.22201/igeof.00167169p.2007.46.3.36

Abstract

A general equation of state for fluids of any number of phases is derived. The equation contains the principal experimental state equations as special cases. The non-additive energies of 3, 4, … particles must also be considered, plus the additive binary energies. In order to derive the isotherm in the vicinity of a critical point, it is found that the equation of state must contain at least three parameters, including the non-additive three-body potential energy. We show how to obtain the interaction spectra of an equation of state for the earth’s mantle.