Square well model

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The square well model is given by ^[1]

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

where $\Phi _{12}(r)$ is the intermolecular pair potential, $\epsilon$ is the well depth, $r$ is the distance between site 1 and site 2 $r:=|\mathbf {r} _{1}-\mathbf {r} _{2}|$ , σ is the hard diameter and λ > 1. For an infinitesimally narrow well one has the sticky hard sphere model proposed by Baxter.

Equation of state[edit]

Main article: Equations of state for the square well model

Virial coefficients[edit]

Main article: Square well potential: virial coefficients

Liquid-vapour coexistence[edit]

Critical point[edit]

Direct correlation function[edit]

Direct correlation function ^[6].

Helmholtz energy function[edit]

Helmholtz energy function ^[7] ^[8].

See also[edit]

2-dimensional square well model

References[edit]

Related reading

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Models