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

equation of state In physics, chemistry, and thermodynamics, 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 ...

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) of a substance is a measure of how resistant to compression the substance is. It is defined as the ratio of the infinitesimal pressure increase to the resulting ''relative'' decrease of the volume. Other moduli describe ...

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