Editing Bridge function
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 1: | Line 1: | ||
The '''bridge functions''' are infinite series of irreducible [[ | The '''bridge functions''' are infinite series of irreducible [[diagrams]] <math>D_i</math>: | ||
:<math>B^{(2)}(r) = \rho^2 \frac{1}{2} D_1(r) + \rho^3 [D_2(r) + D_3(r)] + \rho^4[...]+...</math> | :<math>B^{(2)}(r) = \rho^2 \frac{1}{2} D_1(r) + \rho^3 [D_2(r) + D_3(r)] + \rho^4[...]+...</math> | ||
| Line 7: | Line 7: | ||
:<math>B^{(1)}(r) = \frac{1}{3} B^{(2)}(r) + \rho^3 \left[\frac{1}{6}D_2(r) - \frac{1}{12}D_3(r)\right] + \rho^4[...]+...</math> | :<math>B^{(1)}(r) = \frac{1}{3} B^{(2)}(r) + \rho^3 \left[\frac{1}{6}D_2(r) - \frac{1}{12}D_3(r)\right] + \rho^4[...]+...</math> | ||
where <math>\rho</math> is the density of the fluid | where <math>\rho</math> is the density of the fluid | ||
==References== | ==References== | ||
#[http://dx.doi.org/10.1063/1.2737046 Jean-Marc Bomont and Jean-Louis Bretonnet "Approximative “one particle” bridge function B(1)(r) for the theory of simple fluids", Journal of Chemical Physics '''126''' 214504 (2007)] | |||
[[category: integral equations]] | [[category: integral equations]] | ||