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

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An-Najah University Journal for Research - A (Natural Sciences) Indexed in Scopus since 2019
CiteScore 0.8
Indexed since 2019
First decision 5 Days
Submission to acceptance 160 Days
Acceptance to publication 20 Days
Acceptance rate 14%

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Original full research article

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

Published
2001-05-07
Pages
11 - 20
Full text

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
بحث أصيل كامل

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

Published
2001-05-07
الصفحات
11 - 20
البحث كاملا

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