Difference between revisions of "Bridge function"

From SklogWiki
Jump to: navigation, search
Line 1: Line 1:
The '''bridge functions''' are infinite series of irreducible [[diagrams]] <math>D_i</math>:
+
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>
 
:<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)]
 
#[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]]

Revision as of 10:28, 8 June 2007