Bridge function: Difference between revisions
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where <math>\rho</math> is the density of the fluid. | where <math>\rho</math> is the density of the fluid. | ||
==Universality of the Bridge functional== | ==Universality of the Bridge functional== | ||
For Rosenfeld's principle of the universality of the bridge functional see | For Rosenfeld's principle of the universality of the bridge functional see <ref>[http://dx.doi.org/10.1063/1.464569 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)]</ref>. | ||
==References== | ==References== | ||
<references/> | |||
;Related reading | |||
*[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)] | |||
*[http://dx.doi.org/10.1063/1.1860559 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)] | |||
*[http://dx.doi.org/10.1063/1.4766465 Stefan M. Kast and Daniel Tomazic "An exact bound on the bridge function in integral equation theories", Journal of Chemical Physics '''137''' 174502 (2012)] | |||
[[category: integral equations]] | [[category: integral equations]] | ||
Latest revision as of 16:26, 7 November 2012
The bridge functions are infinite series of irreducible diagrams :
![{\displaystyle B^{(2)}(r)=\rho ^{2}{\frac {1}{2}}D_{1}(r)+\rho ^{3}[D_{2}(r)+D_{3}(r)]+\rho ^{4}[...]+...}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a3a016aca53933b93dfb7fe63cc9d408238446bb)
and
![{\displaystyle 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}[...]+...}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c9ce1bab48c7699f7cfc86d46a18dd90cc6259ff)
where is the density of the fluid.
Universality of the Bridge functional[edit]
For Rosenfeld's principle of the universality of the bridge functional see [1].
References[edit]
- Related reading
- 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)
- 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)
- Stefan M. Kast and Daniel Tomazic "An exact bound on the bridge function in integral equation theories", Journal of Chemical Physics 137 174502 (2012)