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   <subfield code="a">A field-space conformai solution method</subfield>
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   <subfield code="a">We propose a radical extension of the principle of corresponding states to mixtures. All previous methods of which we are aware are based upon the application of &quot;mixing rules” which are explicit in the compositions of the resultant, or target, mixture. In the present development these relations are functions of field variables alone, specifically the activities of the reference system. This has a profound effect upon the basic machinery of the transformations. For example, when the new method is used to map the properties of a binary fluid mixture onto those of a pure fluid (and in contrast to the description of a mixture by one-fluid theory with van der Waals mixing rules), the dew-bubble-point surface of the mixture is mapped onto the vapor pressure curve of the pure fluid, and the critical line of the mixture is mapped onto the critical point of the pure fluid. Thus, there is no separate &quot;pseudocritical” locus. The principal technical advantage of such a development is numerical; calculation of the location of vapor-liquid coexistence and critical manifolds is enormously simplified. The most important theoretical aspect associated with the new method is that if the reference system is described by an equation of state which obeys the critical scaling laws, then the entire critical manifold of the target system will also exhibit critical scaling.</subfield>
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