Application of Fisher's droplet model for the liquid-gas transition nearTc
The results of the three-dimensional liquid droplet model are compared with experiment and other phenomenological theories. The homogeneity assumption of the scaling laws holds both above and belowTc, and various series expansions can be derived. But there is a nonanalyticity near the critical isotherm aboveTc for fixed “field” μ−μ(pc,T); and liquid and gas are not symmetric about the critical isochore aboveTc. Both results contradict the usual scaling assumptions and experiment. The equation of state is fixed if the density on the coexistence curve and the critical pressure are known. Therefore we can derive various relations between critical quantities. They are compared with experiment and the corresponding relations in the Vicentini-Missoni ansatz, the parametric representation, and the generalized Landau ansatz. The disagreement ranges from about 20% to one order of magnitude.