Weightless experiments to probe universality of fluid critical behavior

Lecoutre, Carole; Guillaument, Romain; Marre, Samuel; Garrabos, Yves; Beysens, Daniel; Hahn, Inseob

doi:10.1103/physreve.91.060101

Cited by 13 publications

(18 citation statements)

References 22 publications

(36 reference statements)

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“…As shown in xenon [6] and similarly in Ref. [22] for SF 6 , the singular top-shape of the reduced coexistence curve ∆ρ LV (|∆τ * |) for |∆τ * | 10 −2 was predicted without adjustable parameter, using the theoretical master crossover functions [21] estimated from the massive renormalization scheme [19,20]. Nevertheless, any other effective power laws to describe ∆ρ LV of SF 6 (such as ∆ρ LV = 1.7147 |∆τ * | 0.3271 +0.8203 |∆τ * | 0.8215 − 1.4396 |∆τ * | 1.2989 from Ref.…”

supporting

confidence: 72%

“…Using our previous resultsū = 0.166, l 0 = 38.303, m 0 = 0.4877 from fitting the SF 6 compressibility, heat capacity, and coexisting curves (see Ref. [22]) and fixing b 2 = 0 leads to the dotted curve in Fig. 3.…”

mentioning

confidence: 92%

“…1. Indeed, even though the temperature can be controlled very close to T c in order to reach very small ∆τ * = T Tc − 1 values (lower than 10 −5 , typically), the mean density ρ of the fluid cell of experiments has been hardly at its exact critical value ρ c [22]. The error-bar related to the off-critical parameter δρ = ρ ρc − 1 never contribute to the discussion of the results in terms of true experimental distance to the critical point.…”

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confidence: 99%

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Liquid-vapor rectilinear diameter revisited

et al. 2018

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In the modern theory of critical phenomena, the liquid-vapor density diameter in simple fluids is generally expected to deviate from a rectilinear law approaching the critical point. However, by performing precise scannerlike optical measurements of the position of the SF_{6} liquid-vapor meniscus, in an approach much closer to criticality in temperature and density than earlier measurements, no deviation from a rectilinear diameter can be detected. The observed meniscus position from far (10K) to extremely close (1mK) to the critical temperature is analyzed using recent theoretical models to predict the complete scaling consequences of a fluid asymmetry. The temperature dependence of the meniscus position appears consistent with the law of rectilinear diameter. The apparent absence of the critical hook in SF_{6} therefore seemingly rules out the need for the pressure scaling field contribution in the complete scaling theoretical framework in this SF_{6} analysis. More generally, this work suggests a way to clarify the experimental ambiguities in the simple fluids for the near-critical singularities in the density diameter.

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confidence: 72%

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confidence: 92%

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confidence: 99%

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Liquid-vapor rectilinear diameter revisited

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“…SF 6 was discovered in 1900 by Henri Moissan and Paul Lebeau [6], and has many industrial applications, most prominently as an insulating gas for high-voltage electrical power systems (see, for example, [7]). It is very stable chemically, electrically and thermally, and has been investigated extensively as a model fluid for criticality studies [8], including under weightless conditions aboard the International Space Station [9]. The triple point of SF 6 has received considerably less attention than has its critical region.…”

Section: Introductionmentioning

confidence: 99%

The triple point of sulfur hexafluoride

Rourke

2016

Metrologia

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READ THESE TERMS AND CONDITIONS CAREFULLY BEFORE USING THIS WEBSITE.http://nparc.nrc-cnrc.gc.ca/eng/copyright Vous avez des questions? Nous pouvons vous aider. Pour communiquer directement avec un auteur, consultez la première page de la revue dans laquelle son article a été publié afin de trouver ses coordonnées. Si vous n'arrivez pas à les repérer, communiquez avec nous à PublicationsArchive-ArchivesPublications@nrc-cnrc.gc.ca. Questions?Contact the NRC Publications Archive team at PublicationsArchive-ArchivesPublications@nrc-cnrc.gc.ca. If you wish to email the authors directly, please see the first page of the publication for their contact information. NRC Publications Archive Archives des publications du CNRCThis publication could be one of several versions: author's original, accepted manuscript or the publisher's version. / La version de cette publication peut être l'une des suivantes : la version prépublication de l'auteur, la version acceptée du manuscrit ou la version de l'éditeur. NRC Publications Record / Notice d'Archives des publications de CNRC:http://nparc.nrc-cnrc.gc.ca/eng/view/object/?id=94ce3cda-5197-4a6b-9b1b-3d2848210cae http://nparc.nrc-cnrc.gc.ca/fra/voir/objet/?id=94ce3cda-5197-4a6b-9b1b-3d2848210caeThe triple point of sulfur hexafluoride P M C Rourke National Research Council 1200 Montreal Road, Ottawa, ON, K1A 0R6 Canada E-mail: patrick.rourke@nrc-cnrc.gc.ca Abstract. A cryogenic fixed point cell has been filled with high purity (99.999%) sulfur hexafluoride (SF 6 ) and measured in an adiabatic closed-cycle cryostat system. Temperature measurements of the SF 6 melting curve were performed using a capsule-type standard platinum resistance thermometer (CSPRT) calibrated over the International Temperature Scale of 1990 (ITS-90) subrange from the triple point of equilibrium hydrogen to the triple point of water. The measured temperatures were corrected by 0.37 mK for the effects of thermometer self-heating, and the liquidus-point temperature estimated by extrapolation to melted fraction F = 1 of a simple linear regression versus melted fraction F in the range F = 0.53 to 0.84. Based on this measurement, the temperature of the triple point of sulfur hexafluoride is shown to be 223.555 23(49) K (k = 1) on the ITS-90. This value is in excellent agreement with the best prior measurements reported in the literature, but with considerably smaller uncertainty. An analysis of the detailed uncertainty budget of this measurement suggests that if the triple point of sulfur hexafluoride were to be included as a defining fixed point of the next revision of the International Temperature Scale, it could do so with a total realization uncertainty of approximately 0.43 mK, slightly larger than the realization uncertainties of the defining fixed points of the ITS-90. Since the combined standard uncertainty of this SF 6 triple point temperature determination is dominated by chemical impurity effects, further research exploring gas purification techniques and the influence of specific impurity species on the...

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“…Moreover, the experiments are never exactly on these critical paths, adding paradoxically a new opportunity to investigate the theoretical expectations related to the non-symmetrical behaviors. Indeed, even though the temperature can be made very close to , the mean density of the fluid cell is never at its exact critical density value [17]. The error-bar related to this latter critical parameter was never contributing to the discussion of the Earth's based results in terms of true experimental distance to the critical point.…”

Section: Introductionmentioning

confidence: 99%

Near-critical density filling of the SF 6 fluid cell for the ALI-R-DECLIC experiment in weightlessness

et al. 2018

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Analyses of ground-based experiments on near-critical fluids to precisely determine their density can be hampered by several effects, especially the density stratification of the sample, the liquid wetting behavior at the cell walls, and a possible singular curvature of the "rectilinear" diameter of the density coexisting curve. For the latter effect, theoretical efforts have been made to understand the amplitude and shape of the critical hook of the density diameter, which depart from predictions from the so-called ideal lattice-gas model of the uniaxial 3D-Ising universality class. In order to optimize the observation of these subtle effects on the position and shape of the liquid-vapor meniscus in the particular case of SF6, we have designed and filled a cell that is highly symmetrized with respect to any median plane of the total fluid volume. In such a viewed quasi-perfect symmetrical fluid volume, the precise detection of the meniscus position and shape for different orientations of the cell with respect to the Earth's gravity acceleration field becomes a sensitive probe to estimate the cell mean density filling and to test the singular diameter effects. After integration of this cell in the ALI-R insert, we take benefit of the high optical and thermal performances of the DECLIC Engineering Model. Here we present the sensitive imaging method providing the precise ground-based SF6 benchmark data. From these data analysis it is found that the temperature dependence of the meniscus position does not reflect the expected critical hook in the rectilinear density diameter. Therefore the off-density criticality of the cell is accurately estimated, before near future experiments using the same ALI-R insert in the DECLIC facility already on-board the International Space Station.

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Weightless experiments to probe universality of fluid critical behavior

Cited by 13 publications

References 22 publications

Liquid-vapor rectilinear diameter revisited

Liquid-vapor rectilinear diameter revisited

The triple point of sulfur hexafluoride

Near-critical density filling of the SF 6 fluid cell for the ALI-R-DECLIC experiment in weightlessness

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