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Journal Articles Journal of Statistical Physics Year : 2015

Crossover equation of state models applied to the critical behavior of Xenon

Abstract

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.
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Dates and versions

hal-01128401 , version 1 (25-01-2021)

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Yves Garrabos, Carole Lecoutre, Samuel Marre, Romain Guillaument, Daniel Beysens, et al.. Crossover equation of state models applied to the critical behavior of Xenon. Journal of Statistical Physics, 2015, 158 (6), pp.1379-1412. ⟨10.1007/s10955-014-1157-x⟩. ⟨hal-01128401⟩
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