Hard sphere model: Difference between revisions

Revision as of 18:50, 27 February 2007

The hard sphere interaction potential is given by

V\left(r\right)=\left\{{\begin{array}{lll}\infty &;&r<\sigma \\0&;&r\geq \sigma \end{array}}\right.

where $V\left(r\right)$ is the potential energy between two spheres at a distance $r$ , and $\sigma$ is the sphere diameter.

Hard sphere fluid equations of state;

Hard disks in a 2-dimensional space

Hard rods in one dimension

Virial coefficients of hard spheres and hard disks

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 [[Image:sphere_green.png|thumb|right]]
+== Interaction Potential ==
 The hard sphere interaction potential is given by
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 where <math> V\left(r \right) </math> is the potential energy between two spheres at a distance <math> r </math>, and <math> \sigma </math> is the sphere diameter.
-Hard sphere fluid equation of state; See [[Carnahan-Starling]] (three dimensions)
+== Equations of state ==
+Hard sphere fluid equations of state;
+# See [[Carnahan-Starling]] (three dimensions)
 == Related systems ==