Editing Mie potential
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The '''Mie potential''' was proposed by Gustav Mie in 1903 <ref>[http://dx.doi.org/10.1002/andp.19033160802 Gustav Mie "Zur kinetischen Theorie der einatomigen Körper", Annalen der Physik '''11''' pp. 657-697 (1903)] ( | The '''Mie potential''' was proposed by Gustav Mie in 1903 <ref>[http://dx.doi.org/10.1002/andp.19033160802 Gustav Mie "Zur kinetischen Theorie der einatomigen Körper", Annalen der Physik '''11''' pp. 657-697 (1903)] (check this reference)</ref>. It is given by | ||
:<math> \Phi_{12}(r) = \left( \frac{n}{n-m}\right) \left( \frac{n}{m}\right)^{m/(n-m)} \epsilon \left[ \left(\frac{\sigma}{r} \right)^{n}- \left( \frac{\sigma}{r}\right)^m \right] </math> | :<math> \Phi_{12}(r) = \left( \frac{n}{n-m}\right) \left( \frac{n}{m}\right)^{m/(n-m)} \epsilon \left[ \left(\frac{\sigma}{r} \right)^{n}- \left( \frac{\sigma}{r}\right)^m \right] </math> | ||
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* <math> \epsilon </math> : well depth (energy) | * <math> \epsilon </math> : well depth (energy) | ||
Note that when <math>n=12</math> and <math>m=6</math> this becomes the [[Lennard-Jones model]]. | Note that when <math>n=12</math> and <math>m=6</math> this becomes the [[Lennard-Jones model]]. | ||
==(14,7) model== | ==(14,7) model== | ||
#[http://dx.doi.org/10.1063/1.2901164 Afshin Eskandari Nasrabad "Monte Carlo simulations of thermodynamic and structural properties of Mie(14,7) fluids", Journal of Chemical Physics '''128''' 154514 (2008)] | |||
#[http://dx.doi.org/10.1063/1.2953331 Afshin Eskandari Nasrabad, Nader Mansoori Oghaz, and Behzad Haghighi "Transport properties of Mie(14,7) fluids: Molecular dynamics simulation and theory", Journal of Chemical Physics '''129''' 024507 (2008)] | |||
==Second virial coefficient== | ==Second virial coefficient== | ||
The [[second virial coefficient]] | The [[second virial coefficient]] and the Vliegenthart–Lekkerkerker relation <ref>[http://dx.doi.org/10.1063/1.3578469 V. L. Kulinskii "The Vliegenthart–Lekkerkerker relation: The case of the Mie-fluids", Journal of Chemical Physics '''134''' 144111 (2011)]</ref>. | ||
and the Vliegenthart–Lekkerkerker relation <ref>[http://dx.doi.org/10.1063/1.3578469 V. L. Kulinskii "The Vliegenthart–Lekkerkerker relation: The case of the Mie-fluids", Journal of Chemical Physics '''134''' 144111 (2011)]</ref>. | |||
==References== | ==References== | ||
<references/> | <references/> | ||
'''Related reading''' | '''Related reading''' | ||
*[http://dx.doi.org/10.1016/j.physleta.2008.10.047 Pedro Orea, Yuri Reyes-Mercado, Yurko Duda "Some universal trends of the Mie(n,m) fluid thermodynamics", Physics Letters A '''372''' pp. 7024-7027 (2008)] | *[http://dx.doi.org/10.1016/j.physleta.2008.10.047 Pedro Orea, Yuri Reyes-Mercado, Yurko Duda "Some universal trends of the Mie(n,m) fluid thermodynamics", Physics Letters A '''372''' pp. 7024-7027 (2008)] | ||
[[Category: Models]] | [[Category: Models]] | ||