Sutherland potential: Difference between revisions

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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,  
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
<math> \gamma </math> is a parameter that controls the interaction range. For example, for <math>\gamma=6</math> the potential look like



Revision as of 14:37, 6 April 2010

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

Φ12(r)={∞;r≤σ−ϵ(σr)γ;r>σ

where Φ12(r) is the intermolecular pair potential, r:=|r1−r2| is the distance between site 1 and site 2, σ is the radius of the central hard core, ϵ is the energy well depth (ϵ>0), and γ is a parameter that controls the interaction range. For example, for γ=6 the potential look like

References

Related reading