The Rose–Vinet equation of state is a set of equations used to describe the

equation of state In physics and chemistry, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given set of physical conditions, such as pressure, volume, temperature, or internal energy. Most mo ...

of solid objects. It is a modification of the

Birch–Murnaghan equation of state The Birch–Murnaghan isothermal equation of state, published in 1947 by Albert Francis Birch of Harvard, is a relationship between the volume of a body and the pressure to which it is subjected. Birch proposed this equation based on the work of ...

. The initial paper discusses how the equation only depends on four inputs: the isothermal

bulk modulus The bulk modulus (K or B or k) of a substance is a measure of the resistance of a substance to bulk compression. It is defined as the ratio of the infinitesimal pressure increase to the resulting ''relative'' decrease of the volume. Other mo ...

B_0

, the derivative of bulk modulus with respect to pressure

B_0'

, 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(\right)^

then the equation of state is: :

P=3B_0\left(\frac\right)e^

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

References

Solid mechanics Equations of state {{math-physics-stub