Scaled-particle theory

Scaled-particle theory .

Equation of state of hard disks

The equation of state for hard disks as obtained from scaled-particle theory is given by (Eq. 3.15 of ):

$Z={\frac {pV}{Nk_{B}T}}={\frac {1}{(1-y)^{2}}}.$

References

Related reading

• Michael Heying and David S. Corti "Scaled Particle Theory Revisited: New Conditions and Improved Predictions of the Properties of the Hard Sphere Fluid", Journal of Physical Chemistry B 108 pp. 19756-19768 (2004)
• Daniel W. Siderius and David S. Corti "On the use of multiple interpolation functions in scaled particle theory to improve the predictions of the properties of the hard-sphere fluid", Journal of Chemical Physics 127 144502 (2007)
• Michael Heying and David S. Corti "On the use of multiple interpolation series in scaled particle theory: improved predictions and limitations", Molecular Physics 112 pp. 2160-2175 (2014)