The nature of singular coexistence-curve diameters of liquid–liquid phase equilibria

A13C NMR and density functional theory study of critical behaviour of binary water/2,6-lutidine solution

“…However, the above result is consistent with the new concept of 'complete scaling' in the theory of critical phenomena formulated in [31] and examined experimentally in [32]. The term having 2β-criticality may appear to be significant, if the competition between two correlations -concentration and entropy and correlation between concentration and molar density -takes place in the mixture [32]. Our finding can be considered as an additional experimental support to this concept.…”

“…It is suggested that the term in the 'diameter' of coexistence curves containing |T − T C | 2β singularity arises from a 'wrong' choice of composition variables [30]. However, the above result is consistent with the new concept of 'complete scaling' in the theory of critical phenomena formulated in [31] and examined experimentally in [32]. The term having 2β-criticality may appear to be significant, if the competition between two correlations -concentration and entropy and correlation between concentration and molar density -takes place in the mixture [32].…”

Critical Locus of Aqueous Solutions of Sodium Chloride Revisited

“…This improved principle of scaling behavior is now referred to as complete scaling. And indeed, complete scaling has turned out to give a proper account of the observed asymmetric critical phase behavior in fluids [19][20][21][22][23]. In this article, we shall show that complete scaling implies an analytic relationship between the critical pressure and the critical temperature, even though P c and T c individually exhibit a non-analytic dependence on the concentration as predicted by Kim and Fisher [11].…”

“…That is, the anomalous singular critical behavior of various thermodynamic properties is solely caused by the non-analytic dependence of h 3 on h 1 and h 2 and not by any non-analyticities in the dependence of the scaling fields on the physical fields. According to the principle of complete scaling for binary solutions, the scaling fields will be analytic functions of four physical fields which can be identified with the temperature T , the pressure P , the chemical potential μ 1 of the solvent, and the chemical-potential difference μ 21 = μ 2 − μ 1 , where μ 2 is the chemical potential of the solute [20][21][22]. To satisfy Eq.…”

Soluble Model Fluids with Complete Scaling and Yang-Yang Features

“…Furthermore, implications for asymmetry at the meanfield level [9,11], for surface criticality and inhomogeneous systems [12], for criticality in fluid mixtures [13], for the dielectric constant [14], for the refractive index [15], and for the osmotic compressibility [16] have been explored.…”