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We analyze the critical gas-liquid phase behavior of arbitrary fluid mixturesin their coexistence region. We focus on the setting relevant for polydispersecolloids, where the overall density and composition of the system are beingcontrolled, in addition to temperature. Our analysis uses the complete scalingformalism and thus includes pressure mixing effects in the mapping fromthermodynamic fields to the effective fields of 3D Ising criticality. Becauseof fractionation, where mixture components are distributed unevenly acrosscoexisting phases, the critical behavior is remarkably rich. We give scalinglaws for a number of important loci in the phase diagram. These include thecloud and shadow curves, which characterise the onset of phase coexistence, amore general set of curves defined by fixing the fractional volumes of thecoexisting phases to arbitrary values, and conventional coexistence curves ofthe densities of coexisting phases for fixed overall density. We identifysuitable observables (distinct from the Yang-Yang anomalies discussed in theliterature) for detecting pressure mixing effects. Our analytical predictionsare checked against numerics using a set of mapping parameters fitted tosimulation data for a polydisperse Lennard-Jones fluid, allowing us tohighlight crossovers where pressure mixing becomes relevant close to thecritical point.

Critical phase behavior in multi-component fluid mixtures: Complete scaling analysis