Editing Triangular well model
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The '''triangular well model''', proposed by | The '''triangular well model''', proposed by T. Nagayimain one dimension <ref>[http://www.journalarchive.jst.go.jp/english//jnlabstract_en.php?cdjournal=ppmsj1919&cdvol=22&noissue=8-9&startpage=705 T. Nagayima "Statistical Mechanics of One-dimensional Substances I", Proceedings of the Physico-Mathematical Society of Japan '''22''' pp. 705-720 (1940)]</ref><ref>[http://www.journalarchive.jst.go.jp/english//jnlabstract_en.php?cdjournal=ppmsj1919&cdvol=22&noissue=12&startpage=1034 T. Nagayima "Statistical Mechanics of One-dimensional Substances. II", Proceedings of the Physico-Mathematical Society of Japan '''22''' pp. 1034-1047 (1940)]</ref>, is given by | ||
:<math> | :<math> | ||
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where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]], <math>r</math> is the distance <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math>, <math>\sigma</math> is the hard diameter, <math>\epsilon</math> is the well depth | where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]], <math>r</math> is the distance <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math>, <math>\sigma</math> is the hard diameter, <math>\epsilon</math> is the well depth | ||
and λ > 1. | and λ > 1. | ||
==Equation of state== | ==Equation of state== | ||
<ref>[http://dx.doi.org/10.1016/S0378-4371(00)00232-6 J. Largo and J. R. Solana "A simplified perturbation theory for equilibrium properties of triangular-well fluids", Physica A '''284''' pp. 68-78 (2000)]</ref> | <ref>[http://dx.doi.org/10.1016/S0378-4371(00)00232-6 J. Largo and J. R. Solana "A simplified perturbation theory for equilibrium properties of triangular-well fluids", Physica A '''284''' pp. 68-78 (2000)]</ref> | ||
<ref>[http://dx.doi.org/10.1080/00268976.2010.538738 Mustafa Koyuncu "Equation of state of a long-range triangular-well fluid", Molecular Physics '''109''' pp. 565-573 (2011)]</ref> | <ref>[http://dx.doi.org/10.1080/00268976.2010.538738 Mustafa Koyuncu "Equation of state of a long-range triangular-well fluid", Molecular Physics '''109''' pp. 565-573 (2011)]</ref> | ||
==Virial coefficients== | ==Virial coefficients== | ||
<math>B_2</math>, <math>B_3</math> <ref>[http://dx.doi.org/10.1063/1.1725746 M. J. Feinberg and Andrew G. De Rocco "Intermolecular Forces: The Triangle Well and Some Comparisons with the Square Well and Lennard-Jones", Journal of Chemical Physics '''41''' pp. 3439-3450 (1964)]</ref> | <math>B_2</math>, <math>B_3</math> <ref>[http://dx.doi.org/10.1063/1.1725746 M. J. Feinberg and Andrew G. De Rocco "Intermolecular Forces: The Triangle Well and Some Comparisons with the Square Well and Lennard-Jones", Journal of Chemical Physics '''41''' pp. 3439-3450 (1964)]</ref> | ||
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*[http://dx.doi.org/10.1139/p72-195 Damon N. Card and John Walkley "Perturbation Calculations for a Triangular Well Potential at Low Densities", Canadian Journal of Physics '''50''' pp. 1419–1426 (1972)] | *[http://dx.doi.org/10.1139/p72-195 Damon N. Card and John Walkley "Perturbation Calculations for a Triangular Well Potential at Low Densities", Canadian Journal of Physics '''50''' pp. 1419–1426 (1972)] | ||
*[http://dx.doi.org/10.1139/p74-010 Damon N. Card and John Walkley "Monte Carlo and Perturbation Calculations for a Triangular Well Fluid", Canadian Journal of Physics '''52''' pp. 80-88 (1974)] | *[http://dx.doi.org/10.1139/p74-010 Damon N. Card and John Walkley "Monte Carlo and Perturbation Calculations for a Triangular Well Fluid", Canadian Journal of Physics '''52''' pp. 80-88 (1974)] | ||
*[http://dx.doi.org/10.1016/S0378-4371(00)00232-6 J. Largo and J. R. Solana "A simplified perturbation theory for equilibrium properties of triangular-well fluids", Physica A '''284''' pp. 68-78 (2000)] | |||
*[http://dx.doi.org/10.1080/00268970701725013 F. F. Betancourt-Cárdenas, L. A. Galicia-Luna and S. I. Sandler "Thermodynamic properties for the triangular-well fluid", Molecular Physics '''105''' pp. 2987-2998 (2007)] | |||
*[http://dx.doi.org/10.1080/00268970701832397 F. F. Betancourt-Cárdenas, L. A. Galicia-Luna, A. L. Benavides, J. A. Ramírez and E. Schöll-Paschinger "Thermodynamics of a long-range triangle-well fluid", Molecular Physics '''106''' pp. 113-126 (2008)] | *[http://dx.doi.org/10.1080/00268970701832397 F. F. Betancourt-Cárdenas, L. A. Galicia-Luna, A. L. Benavides, J. A. Ramírez and E. Schöll-Paschinger "Thermodynamics of a long-range triangle-well fluid", Molecular Physics '''106''' pp. 113-126 (2008)] | ||
*[http://dx.doi.org/10.1063/1.3049399 Shiqi Zhou "Thermodynamics and phase behavior of a triangle-well model and density-dependent variety", Journal of Chemical Physics '''130''' 014502 (2009)] | *[http://dx.doi.org/10.1063/1.3049399 Shiqi Zhou "Thermodynamics and phase behavior of a triangle-well model and density-dependent variety", Journal of Chemical Physics '''130''' 014502 (2009)] | ||
[[category: models]] | [[category: models]] |