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 B0, the derivative of bulk modulus with respect to pressure B0′, the volume V0, and the thermal expansion; all evaluated at zero pressure (P=0) 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

η=(VV0)13

then the equation of state is:

P=3B0(1−ηη2)e32(B0′−1)(1−η)

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. doi:10.1103/physrevb.35.1945. PMID 9941621. Bibcode: 1987PhRvB..35.1945V.
2. ↑ "Rose-Vinet (Universal) equation of state". http://www.sklogwiki.org/SklogWiki/index.php?title=Rose-Vinet_(Universal)_equation_of_state.
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. Bibcode: 1981GeoSu...4..189S.

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