𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Analytical solution of the Ornstein-Zernike equation with the mean spherical closure for a nematic phase

✍ Scribed by M.F. Holovko; T.G. Sokolovska

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
903 KB
Volume
82
Category
Article
ISSN
0167-7322

No coin nor oath required. For personal study only.

✦ Synopsis

We propose an analytical method for the calculation of the pair correlation functions and the single-particle distribution function in nematics by the self-consistent solution of the Ornstein-Zernike and Lovett equations. The solution for a model of spherical particles with the long-range anisotropic interactions is obtained in the mean spherical approximation. It is found that in the nematic state the harmonics of the pair correlation function connected with the correlations of the director transverse fluctuations become of long-range type. The structure of the nematic phase is discussed.

πŸ“œ SIMILAR VOLUMES

An Efficient Gauss-Newton-like Method fo
An Efficient Gauss-Newton-like Method for the Numerical Solution of the Ornstein-Zernike Integral Equation for a Class of Fluid Models
✍ Stanislav Labı́k; Roman Pospı́őil; Anatol MalijevskΓ½; William Robert Smith πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 449 KB

A numerical algorithm for solving the Ornstein-Zernike \((O Z)\) integral equation of statistical mechanics is described for the class of fluids composed of molecules with axially symmetric interactions. Since the O7 equation is a monlinear second-kind Frodholm oquation whoso ker feature for the cla

Analytic solution of the mean spherical
Analytic solution of the mean spherical approximation for a multi-component plasma
✍ M. Parrinello; M.P. Tosi πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 217 KB

Tile mean spheriul approximation for a mi..ture of charged hard spheres in a uniform neutralizing background is solved anaIyticzlly\_ The factor correlation functions and the excess thermodynamic properties are explicitly expressed through a single parameter, which can be obtained by solving an alge