Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in or
create an account, your edits will be attributed to your username, along with other benefits.
The edit can be undone.
Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.
Latest revision |
Your text |
Line 1: |
Line 1: |
| '''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>.
| | {{Stub-general}} |
| ==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/>
| | #[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)] |
| ;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)]
| |
| | |
| | |
| [[category: statistical geometry]] | | [[category: statistical geometry]] |