Sakhnenko O. Correlation theory of thermal collective fluctuations for liquid with anisotropic molecules in homogenous and inhomogeneous terms

OSystems with anisotropic molecules. The aim is to develop a theory of thermal fluctuations of homogeneous and inhomogeneous systems with ani-sotropic molecules. Methods are physical and mathematical modeling. The time dependence of the orientation variables correlation function of the Lagrange liquid particle for the liquid with anisotropic molecules in homogeneous conditions were investigated. The collective part of the mo-lecular spectra of the orientation variables correlation function for the space-unrestrected liquid with anisotropic molecules. The exact result for the collective self - diffusion coefficient and the orientation variables relaxation time in homogeneous conditions was found. The role of the ki-netic coefficients dispersion in the behavoir of the orientation variables correlation functions spectra for unrestrected case was investigated. In the unhomogeneous conditions, modeled by the plane - parallel layer of liquid, he spectral properties of the collective contributions to the Lagrange orien-tation variables correlation function for the anisotropic particles of liquid was analyzed in dependence of the coordinate, normal to the restricted planes. The coordinate dependence for the self - diffusion coefficient of the molecule in the plane - parallel layer of liquid was studied. The obtained results are of interest for understanding the mechanism of the orientational and diffusion thermal motion of anisotropic particles under inhomogeneous conditions. Field of use - physics of fluids, physics of disperse systems