Editing Martynov Sarkisov
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an expansion of the [[bridge function]] in terms of basis functions: | an expansion of the [[bridge function]] in terms of basis functions: | ||
<math>B(\rho, T, r)= - \sum_{i=1}^\infty A_i (\rho,T) \phi^i (\rho, T, r)</math> | |||
where <math>\phi</math> is the chosen basis function and <math>A_i</math> are the coefficients determined from | where <math>\phi</math> is the chosen basis function and <math>A_i</math> are the coefficients determined from | ||
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The closure in terms of the bridge function (Eq. 16 of <ref>[http://dx.doi.org/10.1080/00268978300102111 G. A. Martynov; G. N. Sarkisov "Exact equations and the theory of liquids. V", Molecular Physics '''49''' 1495-1504 (1983)]</ref>), for [[hard sphere model | hard sphere]]s, is | The closure in terms of the bridge function (Eq. 16 of <ref>[http://dx.doi.org/10.1080/00268978300102111 G. A. Martynov; G. N. Sarkisov "Exact equations and the theory of liquids. V", Molecular Physics '''49''' 1495-1504 (1983)]</ref>), for [[hard sphere model | hard sphere]]s, is | ||
<math>B[\omega(r)]= - A_2 \omega(r_{12})^2 = \sqrt{(1+2\gamma(r))}-\gamma(r) -1</math> | |||
where <math>\omega(r)</math> is the thermal potential and <math>A_2=1/2</math>. (This closure formed the basis for the | where <math>\omega(r)</math> is the thermal potential and <math>A_2=1/2</math>. (This closure formed the basis for the | ||