Triangular well model

The triangular well model, proposed by T. Nagayimain one dimension , is given by

$\Phi _{12}\left(r\right)=\left\{{\begin{array}{ccc}\infty &;&r\leq \sigma \\{\frac {\epsilon (r/\sigma -\lambda )}{(\lambda -1)}}&;&\sigma <r\leq \lambda \sigma \\0&;&r>\lambda \sigma \end{array}}\right.$

where $\Phi _{12}(r)$ is the intermolecular pair potential, $r$ is the distance $r:=|\mathbf {r} _{1}-\mathbf {r} _{2}|$, $\sigma$ is the hard diameter, $\epsilon$ is the well depth and λ > 1.

Virial coefficients

$B_{2}$, $B_{3}$ and $B_{4}$

References

Related reading

• 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)
• 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)
• J. Largo and J. R. Solana "A simplified perturbation theory for equilibrium properties of triangular-well fluids", Physica A 284 pp. 68-78 (2000)
• 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)
• 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)
• Shiqi Zhou "Thermodynamics and phase behavior of a triangle-well model and density-dependent variety", Journal of Chemical Physics 130 014502 (2009)