POLYMER MEAN SPHERICAL APPROXIMATION FOR THE FLUID OF FLEXIBLE HARD-SPHERE
YUKAWA STAR MOLECULES
Author(s): Yu.V.Kalyuzhnyi, M.F.Holovko (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)
An extension of the product-reactant Ornstein-Zernike approach (PROZA) for the fluid of flexible star molecules is proposed and the corresponding version of the mean spherical approximation (MSA), the so-called polymer MSA (PMSA), is formulated. Using Baxter-Wertheim factorization technique, an analytical solution of the PMSA for the fluid of star molecules with Yukawa hard-sphere interaction between the molecular segments is derived and closed form analytical expressions for the Helmholtz free energy, chemical potential and equation of state are presented. The structure properties of several different versions of the star fluid model are studied.
Key words: star polymers, polymer mean spherical approximation,
association, Yukawa hard-sphere fluid, multidensity Ornstein-Zernike
PACS: 05.20.Jj, 05.70.Ce, 64.10.+h
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