Rose–Vinet equation of state

The Rose–Vinet equation of state is a set of equations used to describe the equation of state of solid objects. It is a 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 , the derivative of bulk modulus with respect to pressure , the volume , and the thermal expansion; all evaluated at zero pressure () and at a single (reference) temperature. The same equation holds for all classes of solids and a wide range of temperatures.

Let the cube root of the specific volume be

then the equation of state is:

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

References

  1. Pascal Vinet; John R. Smith; John Ferrante; James H. Rose (1987). "Temperature effects on the universal equation of state of solids". Physical Review B. 35 (4): 1945–1953. Bibcode:1987PhRvB..35.1945V. doi:10.1103/physrevb.35.1945. hdl:2060/19860019304. PMID 9941621. S2CID 24238001.
  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. Bibcode:1981GeoSu...4..189S. doi:10.1007/BF01449185. S2CID 129899060.


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