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'''Scaled-particle theory''' <ref>[http://dx.doi.org/10.1063/1.1730361      H. Reiss, H. L. Frisch and J. L. Lebowitz "Statistical Mechanics of Rigid Spheres", Journal of Chemical Physics '''31''' pp. 369-380  (1959)]</ref>.
'''Scaled-particle theory''' <ref>[http://dx.doi.org/10.1063/1.1730361      H. Reiss, H. L. Frisch and J. L. Lebowitz "Statistical Mechanics of Rigid Spheres", Journal of Chemical Physics '''31''' pp. 369-380  (1959)]</ref>.
==Equation of state of hard disks==
==Equation of state of hard disks==
The [[Equations of state | equation of state]] for [[Hard disk model | hard disks]] as obtained from scaled-particle theory is given by (Eq. 3.15 of <ref>[http://dx.doi.org/10.1063/1.1731629 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)]</ref>):
: <math>
Z = \frac{ p V}{N k_B T} = \frac{ 1 }{(1-y)^2 }.
</math>
==References==
==References==
<references/>
<references/>
;Related reading
;Related reading
*[http://dx.doi.org/10.1021/jp040398b 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)]
*[http://dx.doi.org/10.1021/jp040398b 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)]
*[http://dx.doi.org/10.1063/1.2768967    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)]
*[http://dx.doi.org/10.1063/1.2768967    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)]
*[http://dx.doi.org/10.1080/00268976.2014.891770 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)]
*[http://dx.doi.org/10.1080/00268976.2014.891770 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)]
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