Thermodynamic stability and critical points in multicomponent mixtures with structured interactions

21 Oct 2021  ·  Isabella R. Graf, Benjamin B. Machta ·

Theoretical work has shed light on the phase behavior of idealized mixtures with random interactions. But many mixtures instead contain a large number of components that interact through a smaller number of features, leading to a structured interaction matrix... Here we consider such solutions with non-random interactions and derive mean-field conditions for thermodynamic stability and critical behavior. These conditions only depend on the distribution of components in the lower-dimensional space of features, and thereby strongly reduce the system's complexity. read more

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Statistical Mechanics Biological Physics