Hard sphere model: Difference between revisions
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[[Image:sphere_green.png|thumb|right]] | [[Image:sphere_green.png|thumb|right]] | ||
== Interaction Potential == | |||
The hard sphere interaction potential is given by | 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. | 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 | == Equations of state == | ||
Hard sphere fluid equations of state; | |||
# See [[Carnahan-Starling]] (three dimensions) | |||
== Related systems == | == Related systems == | ||
Revision as of 18:50, 27 February 2007
Interaction Potential
The hard sphere interaction potential is given by
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V \left( r \right) = \left\{ \begin{array}{lll} \infty & ; & r < \sigma \\ 0 & ; & r \ge \sigma \end{array} \right. }
where is the potential energy between two spheres at a distance Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r } , and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sigma } is the sphere diameter.
Equations of state
Hard sphere fluid equations of state;
- See Carnahan-Starling (three dimensions)
Related systems
Hard disks in a 2-dimensional space
Hard rods in one dimension
Data
Virial coefficients of hard spheres and hard disks