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

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

2000-10-30
2001-05-07
2001-05-07
11 - 20

Keywords

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.

Recommended Citation

Abdelraziq, I. (2001). Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane. An-Najah University Journal for Research - A (Natural Sciences), 15(1), 11–20. https://doi.org/10.35552/anujr.a.15.1.675
[1]I. Abdelraziq, “Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane,” An-Najah University Journal for Research - A (Natural Sciences), vol. 15, no. 1, pp. 11–20, May 2001, doi: 10.35552/anujr.a.15.1.675.
Abdelraziq, Issam. “Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane.” An-Najah University Journal for Research - A (Natural Sciences), vol. 15, no. 1, May 2001, pp. 11–20. Crossref, https://doi.org/10.35552/anujr.a.15.1.675.
1.Abdelraziq I. Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2001 May;15(1):11–20. Available from: http://dx.doi.org/10.35552/anujr.a.15.1.675
Abdelraziq, Issam. “Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane.” An-Najah University Journal for Research - A (Natural Sciences) 15, no. 1 (May 2001): 11–20. https://doi.org/10.35552/anujr.a.15.1.675.

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

معلومات المقال

2000-10-30
2001-05-07
2001-05-07
11 - 20

الكلمات الإفتتاحية

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.

Recommended Citation

Abdelraziq, I. (2001). Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane. An-Najah University Journal for Research - A (Natural Sciences), 15(1), 11–20. https://doi.org/10.35552/anujr.a.15.1.675
[1]I. Abdelraziq, “Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane,” An-Najah University Journal for Research - A (Natural Sciences), vol. 15, no. 1, pp. 11–20, May 2001, doi: 10.35552/anujr.a.15.1.675.
Abdelraziq, Issam. “Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane.” An-Najah University Journal for Research - A (Natural Sciences), vol. 15, no. 1, May 2001, pp. 11–20. Crossref, https://doi.org/10.35552/anujr.a.15.1.675.
1.Abdelraziq I. Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2001 May;15(1):11–20. Available from: http://dx.doi.org/10.35552/anujr.a.15.1.675
Abdelraziq, Issam. “Critical Amplitude of Acoustical Attenuation in Mode-Coupling Theory for the Binary Mixture Aniline and Cyclohexane.” An-Najah University Journal for Research - A (Natural Sciences) 15, no. 1 (May 2001): 11–20. https://doi.org/10.35552/anujr.a.15.1.675.

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