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| '''Equations of state for the square well model'''.
| | {{Stub-general}} |
| From the continuous [[pressure equation]] one can arrive at the following discontinuous equation for the square well model (Eq. 7b <ref>[http://dx.doi.org/10.1063/1.434709 William R. Smith, Douglas Henderson, and Yoshio Tago "Mean spherical approximation and optimized cluster theory for the square‐well fluid", Journal of Chemical Physics '''67''' pp. 5308-5316 (1977)]</ref>)
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| : <math>
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| Z = \frac{ p V}{N k_B T} = 1 + \frac{ 2 \pi}{3} \rho \sigma^3 \left( {\rm g}(\sigma^+) - \lambda^3 \left[ {\rm g}(\lambda\sigma^-)- {\rm g}(\lambda\sigma^+) \right] \right)
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| </math>
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| ==Polarity== | | ==Polarity== |
| <ref>[http://dx.doi.org/10.1080/00268970701871015 Farzad Alavi and Farzaneh Feyzi "An equation of state contribution for dipolar and quadrupolar square-well fluids", Molecular Physics '''106''' pp. 161-174 (2008)]</ref>
| | #[http://dx.doi.org/10.1080/00268970701871015 Farzad Alavi and Farzaneh Feyzi "An equation of state contribution for dipolar and quadrupolar square-well fluids", Molecular Physics '''106''' pp. 161-174 (2008)] |
| ==References== | | ==References== |
| <references/>
| | #[http://dx.doi.org/10.1088/0953-8984/11/50/308 Andreas Lang, Gerhard Kahl, Christos N Likos, Hartmut Löwen and Martin Watzlawek "Structure and thermodynamics of square-well and square-shoulder fluids", Journal of Physics: Condensed Matter '''11''' pp. 10143-10161 (1999)] |
| ;Related reading
| | #[http://dx.doi.org/10.1063/1.1855312 J. Largo, J. R. Solana, S. B. Yuste and A. Santos "Pair correlation function of short-ranged square-well fluids", Journal of Chemical Physics '''122''' 084510 (2005)] |
| *[http://dx.doi.org/10.1063/1.1696904 A. Rotenberg "Monte Carlo Equation of State for Hard Spheres in an Attractive Square Well", Journal of Chemical Physics '''43''' pp. 1198-1201 (1965)]
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| *[http://dx.doi.org/10.1088/0953-8984/11/50/308 Andreas Lang, Gerhard Kahl, Christos N Likos, Hartmut Löwen and Martin Watzlawek "Structure and thermodynamics of square-well and square-shoulder fluids", Journal of Physics: Condensed Matter '''11''' pp. 10143-10161 (1999)]
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| *[http://dx.doi.org/10.1063/1.1855312 J. Largo, J. R. Solana, S. B. Yuste and A. Santos "Pair correlation function of short-ranged square-well fluids", Journal of Chemical Physics '''122''' 084510 (2005)]
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| *[http://dx.doi.org/10.1063/1.3054361 Rodolfo Espíndola-Heredia, Fernando del Río, and Anatol Malijevsky "Optimized equation of the state of the square-well fluid of variable range based on a fourth-order free-energy expansion", Journal of Chemical Physics '''130''' 024509 (2009)]
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| [[category: Equations of state]] | | [[category: Equations of state]] |