Bridge function
From SklogWiki
The bridge functions are infinite series of irreducible diagrams Di:
![B^{(2)}(r) = \rho^2 \frac{1}{2} D_1(r) + \rho^3 [D_2(r) + D_3(r)] + \rho^4[...]+...](/SklogWiki/images/math/6/8/c/68c290ae0c061c7e597fb4f002c7f00a.png)
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[...]+...](/SklogWiki/images/math/e/5/5/e55dde3ca71c5df37b474bb6a1eabff8.png)
where ρ 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.
[edit] References
- 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)
- Yaakov Rosenfeld "Free energy model for inhomogeneous fluid mixtures: Yukawa-charged hard spheres, general interactions, and plasmas", Journal of Chemical Physics 98 pp. 8126-8148 (1993)
- Sang Kyu Kwak and David A. Kofke "Evaluation of bridge-function diagrams via Mayer-sampling Monte Carlo simulation", Journal of Chemical Physics 122 104508 (2005)
