Physics: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. 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 ${B_0}^{\prime }$, the volume $V_0$, 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

$\eta ={\left(\frac{V}{V_0}\right)}^{\frac{1}{3}}$

then the equation of state is:

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

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