Triangular well model

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The triangular well model, proposed by T. Nagayimain one dimension [1][2], is given by

where is the intermolecular pair potential, is the distance , is the hard diameter, is the well depth and λ > 1.

Equation of state

[3] [4] [5] [6] [7]

Virial coefficients

, [8] [9] and [10]

Critical point

Solid phase

[11]

References

  1. T. Nagayima "Statistical Mechanics of One-dimensional Substances I", Proceedings of the Physico-Mathematical Society of Japan 22 pp. 705-720 (1940)
  2. T. Nagayima "Statistical Mechanics of One-dimensional Substances. II", Proceedings of the Physico-Mathematical Society of Japan 22 pp. 1034-1047 (1940)
  3. J. Largo and J. R. Solana "A simplified perturbation theory for equilibrium properties of triangular-well fluids", Physica A 284 pp. 68-78 (2000)
  4. Mustafa Koyuncu "Equation of state of a long-range triangular-well fluid", Molecular Physics 109 pp. 565-573 (2011)
  5. 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)
  6. Hervé Guérin "Improved analytical thermodynamic properties of the triangular-well fluid from perturbation theory", Journal of Molecular Liquids 170 pp. 37-40 (2012)
  7. L.D. Rivera, M. Robles and M. López de Haro "Equation of state and liquid–vapour equilibrium in a triangle-well fluid", Molecular Physics 110 pp. 1317-1323 (2012)
  8. 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)
  9. R. H. Fowler, H. W. Graben, Andrew G. De Rocco and M. J. Feinberg "Some Additional Results for the Triangle-Well Potential Model", Journal of Chemical Physics 43 pp. 1083-1084 (1965)
  10. W. C. Farrar and Andrew G. De Rocco "Perturbation Theory for a High-Temperature Triangle-Well Fluid", Journal of Chemical Physics 54 pp. 2024-2025 (1971)
  11. Jhumpa Adhikari and David A. Kofke "Monte Carlo and cell model calculations for the solid-fluid phase behaviour of the triangle-well model", Molecular Physics 100 pp. 1543-1550 (2002)
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