Difference between revisions of "Bridge function"

From SklogWiki
Jump to: navigation, search
(New page: ==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...)
 
m (Added a recent publication)
 
(5 intermediate revisions by the same user not shown)
Line 1: Line 1:
 +
The '''bridge functions''' are infinite series of irreducible [[Cluster diagrams | 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>
 +
 +
and
 +
 +
:<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.
 +
==Universality of the Bridge functional==
 +
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==
#[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)]
+
<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