Crossover equation of state models applied to the critical behavior of Xenon
Résumé
The turbidity ( τ ) measurements of Güttinger and Cannell (Phys Rev A 24:3188–3201, 1981) in the temperature range 28mK≤T−Tc≤29K along the critical isochore of homogeneous xenon are reanalyzed. The singular behaviors of the isothermal compressibility ( κT ) 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 ( ΔρLV ). The excellent agreement observed for τ , κT , ξ , and ΔρLV 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 critical point are needed in the (pressure, temperature, molecular volume) phase surface of xenon.
Domaines
Matériaux
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