Rose–Vinet equation of state

The Rose–Vinet equation of state are a set of equations used to describe the equation of state of solid objects. It is an modification of the Birch–Murnaghan equation of state.[1][2] The initial paper discusses how the equation only depends on four inputs: the isothermal bulk modulus B_0, the derivative of bulk modulus with respect to pressure B_0', the volume V_0, and the thermal expansion; all evaluated zero pressure (P=0) and at a single (reference) temperature. And the same equation holds for all classes of solids and a wide range of temperatures.

Let the cube root of the specific volume be

\eta=\sqrt[3]{\frac{V}{V_0}}

then the equation of state is:

P=3B_0\left(\frac{1-\eta}{\eta^2}\right)e^{\frac{3}{2}(B_0'-1)(1-\eta)}

A similar equation was published by Stacey et al. in 1981.[3]

References

  1. ↑ Pascal Vinet, John R. Smith, John Ferrante and James H. Rose (1987). "Temperature effects on the universal equation of state of solids". Physical Review B 35: 1945–1953. doi:10.1103/physrevb.35.1945.
  2. ↑ "Rose-Vinet (Universal) equation of state". SklogWiki.
  3. ↑ F. D. Stacey; B. J. Brennan; R. D. Irvine (1981). "Finite strain theories and comparisons with seismological data". Surveys in Geophysics 4 (4): 189–232. doi:10.1007/BF01449185.