Scaled-particle theory
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Scaled-particle theory
[edit] 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
- \( Z = \frac{ p V}{N k_B T} = \frac{ 1 }{(1-y)^2 }. \)
[edit] References
- ↑ H. Reiss, H. L. Frisch and J. L. Lebowitz "Statistical Mechanics of Rigid Spheres", Journal of Chemical Physics 31 pp. 369-380 (1959)
- ↑ E. Helfand, H. L. Frisch, and J. L. Lebowitz "Theory of the Two‐ and One‐Dimensional Rigid Sphere Fluids", Journal of Chemical Physics 34 pp. 1037-1042 (1961)
- 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)
