Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane

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Journal Title, Volume, Page: 
An-Najah University Journal for Research - Natural Sciences - Volume 15, Issue 1, 2001
Year of Publication: 
2001
Authors: 
Issam Rashid Abdelraziq
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
Current Affiliation: 
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
Preferred Abstract (Original): 

Using Hornowski’s theoretical modification of the critical amplitude, the experimental al(crit)/pu(w)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 w* has been found to agree well with the Hornowski’s model of A(T). However, for the large values of reduced frequency w* > 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 x has been calculated by using w00 ( 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 D have been obtained using Hornowski’s expression of the critical amplitude.

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