Bridge function

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The bridge functions are infinite series of irreducible diagrams \(D_i\):

\[B^{(2)}(r) = \rho^2 \frac{1}{2} D_1(r) + \rho^3 [D_2(r) + D_3(r)] + \rho^4[...]+...\]

and

\[B^{(1)}(r) = \frac{1}{3} B^{(2)}(r) + \rho^3 \left[\frac{1}{6}D_2(r) - \frac{1}{12}D_3(r)\right] + \rho^4[...]+...\]

where \(\rho\) is the density of the fluid.

[edit] Universality of the Bridge functional

For Rosenfeld's principle of the universality of the bridge functional see Ref. 2.