Non-asymptotic critical behavior of the transport properties of fluids

Luettmer-Strathmann, Jutta; Sengers, J. V.; Olchowy, G. A.

doi:10.1063/1.470718

Cited by 96 publications

(75 citation statements)

References 64 publications

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“…3.10 in the well-known form ω c = D T (ξ)k 2 for the hydrodynamic region. Also in the opposite critical limit x → ∞ we obtain a finite value for the characteristic frequency, 11) which is the wave vector dependent non-asymptotic expression of the characteristic frequency. Both non-asymptotic expressions allow to discuss the crossover from the asymptotic limit ξk 0 → ∞ or k/k 0 → 0 to the background limit ξk 0 → 0 or k/k 0 → ∞ respectively.…”

Section: B Various Limits Of the Characteristic Frequencymentioning

confidence: 99%

Critical light scattering in liquids

Flossmann

Folk

2000

Phys. Rev. E

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We compare theoretical results for the characteristic frequency of the Rayleigh peak calculated in one-loop order within the field theoretical method of the renormalization group theory with experiments and other theoretical results. Our expressions describe the non-asymptotic crossover in temperature, density and wave vector. In addition we discuss the frequency dependent shear viscosity evaluated within the same model and compare our theoretical results with recent experiments in microgravity.

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Section: B Various Limits Of the Characteristic Frequencymentioning

confidence: 99%

Critical light scattering in liquids

Flossmann

Folk

2000

Phys. Rev. E

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“…Mode-coupling theories [11][12][13], on the other hand, originated from the idea of Fixman [14] that the critical enhancements of the transport coefficients are the result of non-linear coupling between the hydrodynamic modes of the system. Dynamic renormalization-group and mode-coupling theories, as well as the related decoupled-mode theory of Perl and Ferrell [15,16], have recently been extended to describe the crossover behavior of transport properties of fluids and their mixtures [17][18][19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Thermodiffusion in the Critical Region

Luettmer-Strathmann

2002

Thermal Nonequilibrium Phenomena in Fluid Mixtures

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Abstract. Long range fluctuations of the order parameter affect thermodynamic as well as transport properties in the critical region. The values of transport coefficients near a critical point are typically enhanced compared to the values in the classical region far away from a critical point. Asymptotically close to a critical point, the critical enhancements obey power laws with universal critical exponents. The asymptotic critical region is surrounded by a large crossover region, where the enhancements are no longer asymptotic but still significant compared to the background values. In binary mixtures, this is also the region where differences are observed in the critical behavior of transport coefficients near liquid-liquid (consolute) and liquid-vapor (plait) critical points. In this contribution, we review the critical dynamics of binary fluid mixtures with a focus on thermodiffusion.

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“…The critical enhancement of viscosity can be described by the simplified theoretical crossover model of Bhattacharjee et al [29] or the more rigorous crossover models of Olchowy and Sengers [30] and LuettmerStrathmann et al [31]. The critical enhancement of thermal conductivity is significant over a wide region around the critical point and can be described by the simplified crossover model of Olchowy and Sengers [32] or by the more rigorous crossover models of Olchowy and Sengers [30] or Luettmer-Strathmann et al [31]. The more rigorous crossover models require matrix methods or complex variables for their evaluation.…”

Section: Critical Enhancementmentioning

confidence: 99%

Reference correlations for the viscosity and thermal conductivity of fluids over an extended range of conditions: hexane in the vapor, liquid, and supercritical regions (IUPAC Technical Report)

Perkins

Huber

Assael

et al. 2015

Pure and Applied Chemistry

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This article summarizes the correlation procedures developed for IUPAC Project 2012-040-1-100 [Reference correlations for the thermal conductivity and viscosity of fluids over extended range of conditions (vapor, liquid and supercritical regions)]. This project is focused on the development of wide-range reference correlations for the thermal conductivity and viscosity of fluids that incorporate as much theoretical knowledge of these properties as possible. The thermal conductivity and viscosity correlations developed here for pure fluids are functions of temperature and density. The best available equations of state for a given fluid are used to calculate the thermodynamic properties required for these correlations, often from measured temperatures and pressures. The correlation methodology developed during this project has been applied to hexane in this report but can be applied to any pure fluid with a reliable equation of state and reliable data for the thermal conductivity and viscosity over a significant range of temperatures and densities.

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Non-asymptotic critical behavior of the transport properties of fluids

Cited by 96 publications

References 64 publications

Critical light scattering in liquids

Critical light scattering in liquids

Thermodiffusion in the Critical Region

Reference correlations for the viscosity and thermal conductivity of fluids over an extended range of conditions: hexane in the vapor, liquid, and supercritical regions (IUPAC Technical Report)

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