3 research outputs found
Crossover equation of state models applied to the critical behavior of Xenon
The turbidity ( Ï ) measurements of GĂŒttinger and Cannell (Phys Rev A 24:3188â3201, 1981) in the temperature range 28mKâ€TâTcâ€29K along the critical isochore of homogeneous xenon are reanalyzed. The singular behaviors of the isothermal compressibility ( ÎșT ) and the correlation length ( Ο ) predicted from the master crossover functions are introduced in the turbidity functional form derived by Puglielli and Ford (Phys Rev Lett 25:143â146, 1970). We show that the turbidity data are thus well represented by the OrnsteinâZernike 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 liquidâgas density difference ( ÎÏLV ). The excellent agreement observed for Ï , ÎșT , Ο , and ÎÏLV 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 vaporâliquid critical point are needed in the (pressure, temperature, molecular volume) phase surface of xenon