Mie potential: Difference between revisions

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The '''Mie potential''' was proposed by Gustav Mie in 1903. It is given by  
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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#[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)]
#[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)]
==References==
==References==
#[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)
<references/>
#[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)]
'''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)]
[[Category: Models]]
[[Category: Models]]

Revision as of 15:50, 1 October 2009

The Mie potential was proposed by Gustav Mie in 1903 [1]. It is given by

where:

  • is the intermolecular pair potential between two particles at a distance r;
  • is the diameter (length), i.e. the value of at  ;
  •  : well depth (energy)

Note that when and this becomes the Lennard-Jones model.

(14,7) model

  1. Afshin Eskandari Nasrabad "Monte Carlo simulations of thermodynamic and structural properties of Mie(14,7) fluids", Journal of Chemical Physics 128 154514 (2008)
  2. 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)

References

Related reading