Bridge function: Difference between revisions

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(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...)
 
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The '''bridge functions''' are infinite series of irreducible [[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
==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 10:25, 8 June 2007

The bridge functions are infinite series of irreducible diagrams :

and

where is the density of the fluid

References

  1. 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)