Scaling function of critical binary mixtures: Nitrobenzene–n-hexane data revisited

Mirzaev, S. Z.; Kaatze, U.

doi:10.1016/j.chemphys.2011.11.035

Cited by 9 publications

(5 citation statements)

References 62 publications

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“…Then, using the experimental values of 0 and 0 [15], we obtain 0 = 0.56 × 10 −11 s for the examined n-pentanolnitromethane solution. This result agrees with the data of works [9,13,15]. The amplitude 0 of the relaxation time for concentration fluctuations can be determined experimentally with the help of acoustic spectroscopy.…”

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

confidence: 90%

“…However, these results differ by several orders of magnitude from those obtained with the use of the light scattering technique [12]. Even the results of different acoustic experiments concerning the relaxation time are different [9,13]. This situation is related to the fact that the majority of experimental researches in the critical region [14] were carried out in a narrow interval of frequencies, , and only for solutions with critical concentrations [15], which diminishes the reliability of the results obtained.…”

Section: Introductionmentioning

confidence: 87%

“…Here, 0 is the amplitude of the temperaturedependent relaxation time for concentration fluctuations; = ( − c )/ c ; = + = 3.065 [2,3,15] is the dynamical critical exponent, which is determined by the space dimensionality and the exponent in the temperature dependence of the dynamic viscosity = 0.065 [13]; is the critical index in the temperature dependence of the correlation length c ,…”

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

confidence: 99%

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

confidence: 90%

Section: Introductionmentioning

confidence: 87%

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

confidence: 99%

See 1 more Smart Citation

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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“…Investigation of nonequilibrium processes probed by ultrasound waves in the spin-ice materials such as Yb 2 Ti 2 O 7 and Dy 2 Ti 2 O 7 [4,5] and the frequency-dependent anisotropy of sound velocity and attenuation of the acoustic wave propagation through the nematic liquid crystals [6][7][8] represent examples to studies that are related to ultrasonic propagation in systems that undergo phase transitions. Further, considerable attention has been focused on the investigation of sound attenuation in disordered conductors [9]: the behavior of sound propagation near the point of the confined liquid 4 He [10][11][12][13] and absorption of ultrasound near the critical mixing point of a binary liquid [14][15][16]. Finally, one should note that a great variety of magnetic materials including halides, metals, oxides, intermetallics, and sulphides exhibit anomalies in their elastic properties due to the fact that orderdisorder transitions are typically accompanied by small lattice distortions [17].…”

Section: Introductionmentioning

confidence: 99%

Acoustic Signatures of the Phases and Phase Transitions in the Blume Capel Model with Random Crystal Field

Gulpinar

2018

Advances in Condensed Matter Physics

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Sound propagation in the Blume Capel model with quenched diluted single-ion anisotropy is investigated. The sound dispersion relation and an expression for the ultrasonic attenuation are derived with the aid of the method of thermodynamics of irreversible processes. A frequency-dependent dispersion minimum that is shifted to lower temperatures with rising frequency is observed in the ordered region. The thermal and sound frequency (ω) dependencies of the sound attenuation and effect of the Onsager rate coefficient are studied in low- and high-frequency regimes. The results showed that ωτ≪1 and ωτ≫1 are the conditions that describe low- and high-frequency regimes, where τ is the single relaxation time diverging in the vicinity of the critical temperature. In addition, assuming a linear coupling of sound wave with the order parameter fluctuations in the system and ε as the temperature distance from the critical point, we found that the sound attenuation follows the power laws α(ω,ε)~ω2ε-1 and α(ω,ε)~ω0ε1 in the low- and high-frequency regions, while ε→0. Finally, a comparison of the findings of this study with previous theoretical and experimental studies is presented and it is shown that a good agreement is found with our results.

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“…3, for both critical systems, results from measurements at different temperatures [21,24] are shown as a function of reduced frequency Ω. The Ω values for the nitrobenzene-n-hexane critical mixture have been obtained using the power law, (22) and τ 0 = 23 ps [34] resulting from an analogous application of Eq. 6…”

Section: Scaling Functionmentioning

confidence: 99%

Does the Viscosity Exponent Derive from Ultrasonic Attenuation Spectra?

2012

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Based on a representation of the sound velocity of critical liquids in terms of a frequency-dependent complex specific heat at constant pressure, a simple relation between the low-frequency normalized sonic attenuation coefficient and the correlation length of fluctuations is derived. This relation provides a promising alternative for the determination of the dynamics exponent and thus the critical exponent of the shear viscosity. Sonic attenuation data from the literature, measured at frequencies down to 50 kHz, are re-evaluated with a view of the viscosity exponent determination. It is found that only in a small temperature range, the major requirement of the approach is fulfilled with the available data. Close to the critical temperature, the frequencies of measurement are still insufficiently small as compared to the inverse relaxation time of order parameter fluctuations. Criteria for future experiments are discussed briefly.

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Scaling function of critical binary mixtures: Nitrobenzene–n-hexane data revisited

Cited by 9 publications

References 62 publications

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

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

Acoustic Signatures of the Phases and Phase Transitions in the Blume Capel Model with Random Crystal Field

Does the Viscosity Exponent Derive from Ultrasonic Attenuation Spectra?

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