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Condensed Matter > Soft Condensed Matter
Title: Phase separation in complex mixtures with many components: analytical expressions for spinodal manifolds
(Submitted on 30 Jun 2023 (v1), last revised 8 Apr 2024 (this version, v3))
Abstract: The phase behavior is investigated for systems composed of a large number of macromolecular components N, with N greater or equal to 2. Liquid-liquid phase separation is modelled using a virial expansion up to the second order of the concentrations of the components. Formal analytical expressions for the spinodal manifolds in N dimensions are derived that simplify their calculation (by transforming the original problem into inequalities that can be evaluated numerically using linear programming techniques). In addition, a new expression is obtained to calculate the critical manifold and the composition of the co-existing phases. The present analytical procedure complements previous attempts to handle spinodal decomposition for many components using a statistical approach based on Random Matrix Theory. The results are relevant for predicting effects of polydispersity on phase behavior in fields like polymer or food science, and to liquid-liquid phase separation in the cytosol of living cells.
Submission history
From: Arjen Bot [view email][v1] Fri, 30 Jun 2023 12:20:48 GMT (441kb)
[v2] Wed, 12 Jul 2023 15:45:35 GMT (411kb)
[v3] Mon, 8 Apr 2024 14:37:18 GMT (1430kb)
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