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

The turbidity ( $$\tau $$ ) measurements of Güttinger and Cannell (Phys Rev A 24:3188-3201, ) in the temperature range $$28\,\text {mK}\le T-T_{c}\le 29\,\text {K}$$ along the critical isochore of homogeneous xenon are reanalyzed. The singular behaviors of the isothermal compressibility ( $$\kappa _{T}$$ ) and the correlation length ( $$\xi $$ ) predicted from the master crossover functions are introduced in the turbidity functional form derived by Puglielli and Ford (Phys Rev Lett 25:143-146, ). 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 ( $$\Delta \rho _{LV}$$ ). The excellent agreement observed for $$\tau $$ , $$\kappa _{T}$$ , $$\xi $$ , and $$\Delta \rho _{LV}$$ 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 critical point are needed in the (pressure, temperature, molecular volume) phase surface of xenon. [ABSTRACT FROM AUTHOR]