HMSA: Difference between revisions
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Carl McBride (talk | contribs) (New page: The hybrid mean spherical approximation (HMSA) smoothly interpolates between the HNC and the mean spherical approximation closures <math>g(r) = \exp(-\beta u_r(r)) \left(1+\frac{\...) |
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The hybrid mean spherical approximation (HMSA) smoothly interpolates between the | The '''hybrid mean spherical approximation''' (HMSA) smoothly interpolates between the | ||
[[HNC]] and the [[mean spherical approximation]] closures | [[HNC]] and the [[mean spherical approximation]] [[Closure relations | closures]] | ||
<math>g(r) = \exp(-\beta u_r(r)) \left(1+\frac{\exp[f(r)(h(r)-c(r)-\beta u_a(r))]-1}{f(r)}\right)</math> | :<math>g(r) = \exp(-\beta u_r(r)) \left(1+\frac{\exp[f(r)(h(r)-c(r)-\beta u_a(r))]-1}{f(r)}\right)</math> | ||
where <math>g(r)</math> is the [[radial distribution function]]. | |||
==References== | ==References== | ||
[[Category:integral equations]] | [[Category:integral equations]] | ||
Latest revision as of 18:02, 26 June 2007
The hybrid mean spherical approximation (HMSA) smoothly interpolates between the HNC and the mean spherical approximation closures
![{\displaystyle g(r)=\exp(-\beta u_{r}(r))\left(1+{\frac {\exp[f(r)(h(r)-c(r)-\beta u_{a}(r))]-1}{f(r)}}\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7c0ef220abf1c6628033e2025a53f63a640d04d5)
where is the radial distribution function.
