Hard sphere model: Difference between revisions
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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: Equation of State; See [[Carnahan-Starling]] | |||
==References== | ==References== | ||
Revision as of 19:06, 16 February 2007
The hard sphere (HS) 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 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) } 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.
Hard sphere Fluid: Equation of State; See Carnahan-Starling