Master crossover functions for one-component fluids

Garrabos, Yves; Lecoutre, Carole; Palencia, Fabien; Neindre, B. Le; Erkey, Can

doi:10.1103/physreve.77.021116

Cited by 20 publications

(71 citation statements)

References 61 publications

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“…The upper axes of these Fig. 4a, b give the value of ξ α c that expresses the size of the density fluctuations in unit of the short range molecular interaction [35]. …”

Section: Crossover Behavior Of ξ and κ Tmentioning

confidence: 99%

“…These central values are based on the isothermal compressibility and coexisting liquid-gas density measurements near the critical point of xenon, which was then used as a standard Ising-like critical fluid described by the massive renormalization scheme (see Ref. [37]). Indeed for SF 6 we obtain: ξ + 0 = (1.926 ± 0.014) × 10 −10 m (or ξ + = 0.1826 ± 0.0014), a + ξ = 0.9334 ± 0.0056, + 0 = (1.208 ± 0.021) × 10 −8 Pa −1 (or + = 0.0454 ± 0.0008), and a + χ = 1.374 ± 0.008.…”

Section: Asymptotic Singular Behavior Of ξ and κ Tmentioning

confidence: 99%

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Turbidity Data of Weightless SF6 Near its Liquid–Gas Critical Point

Lecoutre¹,

Garrabos²,

Georgin³

et al. 2009

Int J Thermophys

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Light transmission measurements performed in SF 6 close to its liquidgas critical point are used to obtain turbidity data in the reduced temperature rangeAutomatic experiments (ALICE 2 facility) were made at a near critical density, i.e., ρ −ρ c ρ c = 0.8 %, in the one-phase homogeneous region, under the microgravity environment of the Mir Space Station ( ρ is the average density, ρ c is the critical density). The turbidity data analysis verifies the theoretical crossover formulations for the isothermal compressibility κ T and the correlation length ξ . These latter formulations are also used to analyze very near T c thermal diffusivity data obtained under microgravity conditions by Wilkinson et al. (Phys. Rev. E 57, 436, 1998).

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“…The upper axes of these Fig. 4a, b give the value of ξ α c that expresses the size of the density fluctuations in unit of the short range molecular interaction [35]. …”

Section: Crossover Behavior Of ξ and κ Tmentioning

confidence: 99%

Section: Asymptotic Singular Behavior Of ξ and κ Tmentioning

confidence: 99%

Turbidity Data of Weightless SF6 Near its Liquid–Gas Critical Point

Lecoutre¹,

Garrabos²,

Georgin³

et al. 2009

Int J Thermophys

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“…[14] only needs to know 4 critical parameters of xenon, namely, the critical temperature T c , the critical pressure p c , the critical mass density ρ c , and the common critical slope γ c = ∂ p ∂ T ρ=ρ c = dp sat dT T →T ± c of the critical isochore (T → T + c ) and the saturation pressure p sat (T ) curve (T → T − c ). Their values, given in Table 1 (see Refs.…”

Section: Ising-like Singular Behaviors Of ξ and κ T For Xenon Casementioning

confidence: 99%

“…Accounting now for the extensive nature of the fluid susceptibility as already made in Refs. [14,15], the dimensionless susceptibilities χ = ∂ ρ ∂ μ ρ τ * = χ ρ p c (ρ c ) 2 ≡ χ ρ (for a fluid of mass unit), and χ * =…”

Section: Ising-like Singular Behaviors Of ξ and κ T For Xenon Casementioning

confidence: 99%

“…a p = A(T,V,N ) N is the Helmholtz free energy of the fluid particle, v p = V N is the volume occupied by the fluid particle and the subscriptp then refers to a particle quantity. Then, the term-to-term mapping of the physical and theoretical singular behaviors within the PAD completes the critical thermodynamic description by introducing three well-defined "master" (i.e., constant) numbers for all the one-component fluids, which provides the master crossover functions [14], especially for the crossover behaviors of the isothermal compressibility κ T ( τ * , ρ = 0) and the coexisting liquid-gas density difference ρ LV (| τ * | , ρ = 0), along the critical isochore. Here…”

Section: Introductionmentioning

confidence: 99%

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Crossover Equation of State Models Applied to the Critical Behavior of Xenon

et al. 2014

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The turbidity (τ ) measurements of Güttinger and Cannell (Phys Rev A 24:3188-3201, 1981) in the temperature range 28 mK ≤ T − T c ≤ 29 K along the critical isochore of homogeneous xenon are reanalyzed. The singular behaviors of the isothermal compressibility (κ T ) and the correlation length (ξ ) predicted from the master crossover functions are introduced in the turbidity functional form derived by Puglielli and Ford (Phys Rev Lett 25:143-146, 1970). We show that the turbidity data are thus well represented by the Ornstein-Zernike approximant, within 1 % precision. We also introduce a new crossover master model (CMM) of the parametric equation of state for a simple fluid system with no adjustable parameter. The CMM model and the phenomenological crossover parametric model are compared with the turbidity data and the coexisting liquid-gas density difference ( ρ LV ). The excellent agreement observed for τ , κ T , ξ , and ρ LV in a finite temperature range well beyond the Ising-like preasymptotic domain confirms that the Ising-like critical crossover behavior of xenon can be described in conformity with the universal features estimated by the renormalization-group methods. Only 4 critical coordinates of the vapor-liquid Y. Garrabos · C. Lecoutre · S. Marre · R. Guillaument CNRS, ICMCB-ESEME, UPR 9048,

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