Scaled-particle theory: Difference between revisions
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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)] | ||
[[category: statistical geometry]] | [[category: statistical geometry]] | ||
Revision as of 11:03, 19 October 2011
Scaled-particle theory [1].
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 [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)