Sutherland potential: Difference between revisions

Revision as of 14:37, 6 April 2010

The Sutherland potential ^[1]^[2] is given by

\Phi _{12}\left(r\right)=\left\{{\begin{array}{lll}\infty &;&r\leq \sigma \\-\epsilon \left({\frac {\sigma }{r}}\right)^{\gamma }&;&r>\sigma \end{array}}\right.

where $\Phi _{12}\left(r\right)$ is the intermolecular pair potential, $r:=|\mathbf {r} _{1}-\mathbf {r} _{2}|$ is the distance between site 1 and site 2, $\sigma$ is the radius of the central hard core, $\epsilon$ is the energy well depth ( $\epsilon >0$ ), and $\gamma$ is a parameter that controls the interaction range. For example, for $\gamma =6$ the potential look like

References

↑ W. Sutherland, Philosophical Magazine 36 pp. 507- (1893)
↑ H. W. Graben and R. D. Present "Third Virial Coefficient for the Sutherland (∞, ν) Potential", Reviews of Modern Physics 36 pp. 1025-1033 (1964)

Related reading

[1] W. Sutherland, Philosophical Magazine 36 pp. 507- (1893)

[2] H. W. Graben and R. D. Present "Third Virial Coefficient for the Sutherland (∞, ν) Potential", Reviews of Modern Physics 36 pp. 1025-1033 (1964)

[1]

[2]

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 where <math> \Phi_{12}\left( r \right) </math> is the [[intermolecular pair potential]], <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> is the distance between site 1 and site 2,
-<math> \sigma </math> is the hard diameter, <math> \epsilon </math> is the energy well depth (<math> \epsilon > 0 </math>), and
+<math> \sigma </math> is the radius of the central hard core, <math> \epsilon </math> is the energy well depth (<math> \epsilon > 0 </math>), and
 <math> \gamma </math> is a parameter that controls the interaction range. For example, for <math>\gamma=6</math> the potential look like

Sutherland potential: Difference between revisions

Revision as of 14:37, 6 April 2010

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