Hard core Yukawa potential: Difference between revisions
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:<math> | :<math> | ||
\Phi\left( r \right) = | |||
\left\{ \begin{array}{lll} | \left\{ \begin{array}{lll} | ||
\infty & ; & r < \sigma \\ | \infty & ; & r < \sigma \\ | ||
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</math> | </math> | ||
where <math> | where <math> \Phi\left( r \right) </math> is the [[intermolecular pair potential]], <math> r </math> is the distance, | ||
<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 hard diameter, <math> \epsilon </math> is the energy well depth (<math> \epsilon > 0 </math>), and | ||
<math> \kappa </math> is a parameter that controls the interaction range (<math> \kappa > 0 </math>). | <math> \kappa </math> is a parameter that controls the interaction range (<math> \kappa > 0 </math>). | ||
Revision as of 14:52, 21 June 2007
Hard core attractive Yukawa potential:
![{\displaystyle \Phi \left(r\right)=\left\{{\begin{array}{lll}\infty &;&r<\sigma \\-\left({\frac {\epsilon \sigma }{r}}\right)\exp \left[-\kappa \left({\frac {r}{\sigma }}-1\right)\right]&;&r\geq \sigma \end{array}}\right.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/111fff7d58182c7dbbd48fdfb069068f2df98210)
where is the intermolecular pair potential, is the distance, is the hard diameter, is the energy well depth (), and is a parameter that controls the interaction range ().
