Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane
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.
Article history
- Received
- 2000-10-30
- Accepted
- 2001-05-07
- Available online
- 2001-05-07
Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane
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Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane
الملخص
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.
Article history
- تاريخ التسليم
- 2000-10-30
- تاريخ القبول
- 2001-05-07
- Available online
- 2001-05-07