An-Najah University Journal for Research - A (Natural Sciences)

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Abstract

Using Hornowski’s theoretical modification of the critical amplitude, the experimental ??(crit)/?u(?)2A(T) values from mode-coupling theory of a binary liquid mixture aniline – cyclohexane have been compared with the theoretical expressions given by Fixman, Kawasaki, Mistura, and Chaban. The experimental data at low reduced frequencies ?* has been found to agree well with the Hornowski’s model of A(T). However, for the large values of reduced frequency ?* > 10 the mode-coupling theory of Shiwa and Kawasaki still exhibits poor agreement with the observed data, mainly due to the form of scaling function. The correlation length ?0 has been calculated by using ?0 ( the critical amplitude of the characteristic relaxation rate ) which gives the best fitting to the theoretical critical amplitude. The adiabatic coupling constant g and the diffusion coefficient D0 have been obtained using Hornowski’s expression of the critical amplitude.

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Using Hornowski’s theoretical modification of the critical amplitude, the experimental ??(crit)/?u(?)2A(T) values from mode-coupling theory of a binary liquid mixture aniline – cyclohexane have been compared with the theoretical expressions given by Fixman, Kawasaki, Mistura, and Chaban. The experimental data at low reduced frequencies ?* has been found to agree well with the Hornowski’s model of A(T). However, for the large values of reduced frequency ?* > 10 the mode-coupling theory of Shiwa and Kawasaki still exhibits poor agreement with the observed data, mainly due to the form of scaling function. The correlation length ?0 has been calculated by using ?0 ( the critical amplitude of the characteristic relaxation rate ) which gives the best fitting to the theoretical critical amplitude. The adiabatic coupling constant g and the diffusion coefficient D0 have been obtained using Hornowski’s expression of the critical amplitude.