Editing Computational implementation of integral equations
Jump to navigation
Jump to search
The edit can be undone. Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.
Latest revision | Your text | ||
Line 171: | Line 171: | ||
For molecular fluids (see Eq. 19 of Lado Ref. 3) | For molecular fluids (see Eq. 19 of Lado Ref. 3) | ||
:<math>\tilde{S}_{m}(k) = (-1)^{m}\rho \left[I - (-1)^{m} \rho \tilde C_{m}(k) \right]^{-1} \tilde C_{m}(k)\tilde C_{m}(k) | |||
</math> | |||
where <math>\tilde {S}_{m}(k)</math> and <math>\tilde C_{m}(k)</math> are matrices | |||
with elements <math>\tilde S_{l_1 l_2 m}(k), \tilde{C}_{l_1 l_2 m}(k), l_1,l_2 \geq m</math>. | with elements <math>\tilde S_{l_1 l_2 m}(k), \tilde{C}_{l_1 l_2 m}(k), l_1,l_2 \geq m</math>. | ||
For mixtures of simple fluids (see Ref. 10 Juan Antonio Anta PhD thesis pp. 107--109): | For mixtures of simple fluids (see Ref. 10 Juan Antonio Anta PhD thesis pp. 107--109): | ||
:<math>\tilde | :<math>\tilde \Gamma (k) = D \left[ I - D \tilde C(k)\right]^{-1} \tilde C(k)\tilde C(k)</math> | ||
===Conversion back from Fourier space to Real space=== | ===Conversion back from Fourier space to Real space=== |