Hard ellipsoid model: Difference between revisions
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where <math>a</math>, <math>b </math> and <math>c</math> define the lengths of the | where <math>a</math>, <math>b </math> and <math>c</math> define the lengths of the | ||
axis. | axis. | ||
==Overlap algorithm== | |||
The most widely used overlap algorithm is that of Perram and Wertheim: | |||
*[http://dx.doi.org/:10.1016/0021-9991(85)90171-8 John W. Perram and M. S. Wertheim "Statistical mechanics of hard ellipsoids. I. Overlap algorithm and the contact function", Journal of Computational Physics '''58''' pp. 409-416 (1985)] | |||
==See also== | ==See also== | ||
*[[Hard ellipsoid equation of state]] | *[[Hard ellipsoid equation of state]] | ||
Revision as of 10:49, 21 May 2007
Interaction Potential
The general ellipsoid, also called a triaxial ellipsoid, is a quadratic surface which is given in Cartesian coordinates 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 \frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1}
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 a} , 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 b } 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 c} define the lengths of the axis.
Overlap algorithm
The most widely used overlap algorithm is that of Perram and Wertheim: