Liquid-vapor rectilinear diameter revisited

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

doi:10.1103/physreve.97.020101

Cited by 15 publications

(8 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The singular top-shape of the coexistence curve (∆ �) (|∆ * |) for |∆ * | ≤ 10 −2 can be predicted without adjustable parameter [4] from the theoretical master crossover functions estimated from the massive renormalization scheme. Nevertheless, any other effective power laws to describe (∆ �) (|∆ * |) of SF6 (such as for instance (∆ �) = 1.7147|∆ * | 0.3271 + 0.8203|∆ * | 0.8215 − 1.4396|∆ * | 1.2989 from Ref.…”

Section: Discussionmentioning

confidence: 99%

“…(6)-(7), without or with capillary correction term, where are introduced the corresponding predictions of Ref. [4] (see above). For the critical hook case, the brown, green, and pink full curves are for the use of Eqs.…”

Section: Discussionmentioning

confidence: 99%

“…The current theoretical paradigm on critical phenomena using renormalization group (RG) approach [1] has ordered these systems in well-defined universality classes [2] and has characterized the asymptotic singularities in terms of power laws of only two relevant scaling fields [3] in order to be conform to the scaling hypothesis. Simple fluids are then assumed similar [4] to the O(1) symmetric (Φ 2 ) 2 field theory and the N=1vector model of three-dimensional (3D) Ising-like systems ( [2], [5]). Their study in weightlessness condition is well-recommended to test the two-scalefactor universality approaching their critical point.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

et al. 2018

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

et al. 2018

Self Cite

View full text Add to dashboard Cite

show abstract

“…Coherent illumination is used to enhance the refractive-index gradients and then the density gradients. The cell is filled at critical density with a precision of 0.1%, by checking the temperature variation of the meniscus position according to the method developed in [18].…”

Section: B Experimental Setupmentioning

confidence: 99%

Faraday waves on band pattern under zero gravity conditions

et al. 2019

Self Cite

View full text Add to dashboard Cite

Observations performed with CO 2 near its critical point onboard sounding rockets show that periodical patterns (bands) develop in a two-phase, liquid-vapor system under tangential vibrations in microgravity conditions. Fluids are slightly below their liquid-vapor critical point where liquid and vapor densities are close, surface tension is low, and they exhibit a scaled, universal behavior. With the increase of vibration amplitude, an instability can develop on the band pattern, leading to the appearance of Faraday waves. Theoretical and numerical investigations of the Faraday instability onset and development are carried out taking into account the interaction between the bands. The critical parameters for the onset of instability are determined. The comparisons between theoretical analysis, two-dimensional direct numerical simulation, and original experimental data show good agreement.

show abstract

“… 3 , 9 In practice, the analysis of experimental data requires some temperature range Δ T r , which leads to effective critical exponents. For instance, for the order parameter 18 , 19 , 26 , 31 − 33 where the effective exponent: and then β eff. ≥ β.…”

Section: Introductionmentioning

confidence: 99%

Impact of Pressure on Low-Molecular Weight Near-Critical Mixtures of Limited Miscibility

2020

View full text Add to dashboard Cite

Near-critical mixtures of limited miscibility are significant for chemical physics, soft matter physics, and a variety of challenging applications. Their basic properties can be tuned by compressing or a systematic change of one of the components. This report addresses these issues, based on experimental studies in nitro-compound (nitrobenzene, o -nitrotoluene, and 1-nitropropane) and n -alkane (from pentane to eicosane) critical mixtures. Studies reveal new patterns for the evolution of the critical consolute temperature ( T C ) and concentration ( x C , mole fraction) within the tested homologous series: T C ( n ) ∼ n 2 and x C ( n ) ∼ n 1/2 . They also show two paths of the high-pressure impact: (i) d T C ( P )/d P > 0 and overlapping of normalized T C ( P ) dependences and (ii) the crossover d T C ( P )/d P < 0 → d T C ( P )/d P > 0 with increasing n -alkane length. The consistent parameterization of all T C ( P ) dependencies is introduced. Supplementary nonlinear dielectric effect studies indicate a possible molecular origin of the phenomenon. The coexistence curve under high pressure is in the agreement with the isomorphism postulate for critical phenomena but with a surprisingly strong distortion from the Cailletet–Mathias law of the rectilinear diameter. The new and reliable method for estimating the critical concentration and temperature is proposed. It explores the analysis of relative volumes occupied by coexisting phases.

show abstract

Liquid-vapor rectilinear diameter revisited

Cited by 15 publications

References 29 publications

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

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

Faraday waves on band pattern under zero gravity conditions

Impact of Pressure on Low-Molecular Weight Near-Critical Mixtures of Limited Miscibility

Contact Info

Product

Resources

About