J. E. G. Lipson and S. S. Andrews, A Bom-Green-Yvon integral equation treatment of a compressible fluid, J. Chem. Phys., 96, 2, 1426-1434, 1992. [Pg.56]

Derive an expression for Hildebrandt solubility parameter as given by Equation (4.7) for the Bom-Green-Yvon (BGY) integral EOS summarized as [Pg.101]

Outhwaite, C. W. 1978. Modified Poisson-Boltzmann equation in electric double layer theory based on the BogoUubov-Bom-Green-Yvon integral equations. Journal of the Chemical Society, Faraday Transactions 2 Molecular and Chemical Physics 74 1214—1221. [Pg.60]

There have been other integral equation approaches for the structure of polymer melts. Those based on the Kirkwood hierarchy or the Bom-Green-Yvon approach calculate both intramolecular and intermolecular site-site correlation functions. They can be somewhat cumbersome to [Pg.2122]

The equation (6) for s = 1 connects fx to /2, which is itself connected to /3. The ensemble of equations (6) constitutes the hierarchy derived independently by Bogolubov, Bom, Green, Kirkwood, and Yvon. This hierarchy is equivalent to the Liouville equation and to try to solve it is equivalent to studying the trajectories of 1023 particles whose phases at the initial instant are known. [Pg.323]

Consideration of a liquid interface that fluctuates requires proper account of mechanical and chemical balance between the phases. The description of spatially inhomogeneous fluids can be performed on the basis of Bom-Green-Yvon (BGY) integro-differential equation [14,15] [Pg.99]

The theoretical studies included in Table 12 are based on calculations of the virial coefficients [195,260,285,294], applications of the Barker-Henderson (BH) [232] or WCA perturbation theories [19,280,288,297,301,303-306,311] and solutions to the Percus-Yevick (PY) and hypemetted-charn equation (HNC) [247-250] and the Bom-Green-Yvon (BGY) [251] [Pg.474]

A fundamental approach to liquids is provided by the integral equation methods (sometimes called distribution function methods), initiated by Kirkwood and Yvon in the 1930s. As we shall show below, one starts by writing down an exact equation for the molecular distribution function of interest, usually the pair function, and then introduces one or more approximations to solve the problem. These approximations are often motivated by considerations of mathematical simplicity, so that their validity depends on a posteriori agreement with computer simulation or experiment. The theories in question, called YBG (Yvon-Bom-Green), PY (Percus-Yevick), and the HNC (hypemetted chain) approximation, provide the distribution functions directly, and are thus applicable to a wide variety of properties. [Pg.461]

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