Editing Martynov Sarkisov

'''Martynov''' and '''Sarkisov''' proposed
an expansion of the Bridge function in terms of basis functions:

<math>B(\rho, T, r)= - \sum_{i=1}^\infty A_i (\rho,T) \phi^i (\rho, T, r)</math>

where <math>\phi</math> is the chosen basis function and <math>A_i</math> are the coefficients determined from
[[thermodynamic consistency]] conditions.
The Martynov-Sarkisov closure is based on
the expansion of the Bridge function in powers of the thermal potential.

(1983 Eq.16  Ref. 1) closure in terms of  the bridge function,  for [[hard sphere]]s, is

<math>B[\omega(r)]= - A_2 \omega(r_{12})^2 = \sqrt{(1+2\gamma(r))}-\gamma(r)  -1</math> 

where <math>\omega(r)</math> is the thermal potential and <math>A_2=1/2</math>. (This closure formed the basis for the
[[Ballone-Pastore-Galli-Gazillo]] closure for hard sphere mixtures).
Charpentier and Jaske (Ref. 2) have
observed that the value of <math>A_2</math> differs drastically from 0.5 for temperatures
greater than <math>T^*\approx 2.74</math>, thus the MS closure is deficient in the supercritical domain.

==References==
#[MP_1983_49_1495]
#[JCP_2001_114_02284]