The phenomenological approach to estimating critical indices of critical fluid

Alekhin, A. D.; Bilous, O.I.

doi:10.1134/s0018151x15020017

Cited by 3 publications

(3 citation statements)

References 11 publications

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“…Substituting the dynamical critical index = = 3.065 [21] and the critical index in the temperature dependence of the correlation length = 0.63 [22] into formula (6), and taking the value obtained for 0 into account, the temperature dependence of the relative frequency Ω looks like Ω = 3.5 × 10 −11 −1.93 .…”

Section: Discussion Of the Results Obtainedmentioning

confidence: 99%

Anomalous Ultrasound Attenuation near the Critical Point of n-Pentanol–Nitromethane Solution Stratification

Bulavin¹,

Str.²,

Belous³

et al. 2016

Ukr. J. Phys.

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A binary n-pentanol-nitromethane solution in the homogeneous state near the critical stratification point is acoustically studied in a frequency range of 5÷2800 MHz. The experiment confirmed the existence of the anomalous ultrasound attenuation, which can be analyzed in terms of the effective ultrasound absorption. On the basis of experimental data, the regular and fluctuation components of the effective ultrasound absorption coefficient of the solution are resolved. It is shown that the fluctuation part of the effective absorption coefficient can be described in the framework of the Ferrell-Bhattacharjee theory of heat capacity relaxation. On the basis of this theory with the use of the obtained experimental data, the crossover scaling function is determined, and its parameters and Ω 1/2 are found. K e y w o r d s: binary solutions, critical stratification point, ultrasound absorption coefficient, crossover function.

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Section: Discussion Of the Results Obtainedmentioning

confidence: 99%

Anomalous Ultrasound Attenuation near the Critical Point of n-Pentanol–Nitromethane Solution Stratification

Bulavin¹,

Str.²,

Belous³

et al. 2016

Ukr. J. Phys.

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“…Here, = 0 ( )( 0 ) − is the dynamical viscosity, and 0 the amplitude in the temperature dependence of the dynamic viscosity. The latter parameter for the examined solution was determined by means of viscosimetric researches [19]. Its value amounts to 0 = 0.98 ± 0.05 mPa.…”

Section: Estimation Of the Fluctuation Relaxation Time On The Basis Omentioning

confidence: 99%

“…where (Ω) is a scaling crossover function of the relative frequency Ω = 2 FL , FL the relaxation time of concentration fluctuations, and the critical index of isochoric heat capacity ( = 0.091 [19]). The quantity is determined by specific features of the examined solution.…”

Section: Estimation Of the Fluctuation Relaxation Time On The Basis Omentioning

confidence: 99%

Relaxation Time of Concentration Fluctuations in a Vicinity of the Critical Stratification Point of the Binary Mixture n-Pentanol–Nitromethane

2016

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The propagation velocity and the absorption coefficient of ultrasound in a frequency range of 5-2800 MHz in a n-pentanol-nitromethane solution in a vicinity of its critical stratification point from the homogeneous state side have been studied. The research make it possible to reveal the influence of concentration fluctuations on the sound propagation velocity. Three regions of dynamical parameters are analyzed: the mean-field (FL ≪ 1), fluctuation (FL ≫ 1), and transition (crossover, FL = 1) ones. On the basis of experimental data, the temperature dependence of the concentration fluctuation relaxation time () is studied, and its magnitude 0 is determined. The contribution to the fluctuation part of the sound absorption coefficient at high frequencies (> 300 MHz), which is connected with the sound scattering by concentration fluctuations near the critical stratification point is estimated.

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Extended equation for the coexistence curve of molecular liquids in the vicinity of a critical point

Alekhin

Abdikarimov

Rudnikov

et al. 2017

Russ. J. Phys. Chem.

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The phenomenological approach to estimating critical indices of critical fluid

Cited by 3 publications

References 11 publications

Anomalous Ultrasound Attenuation near the Critical Point of n-Pentanol–Nitromethane Solution Stratification

Anomalous Ultrasound Attenuation near the Critical Point of n-Pentanol–Nitromethane Solution Stratification

Relaxation Time of Concentration Fluctuations in a Vicinity of the Critical Stratification Point of the Binary Mixture n-Pentanol–Nitromethane

Extended equation for the coexistence curve of molecular liquids in the vicinity of a critical point

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