Instabilities in Complex Mixtures with a Large Number of Components

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Abstract
Inside living cells are complex mixtures of thousands of components. It is hopeless to try to characterize all the individual interactions in these mixtures. Thus, we develop a statistical approach to approximating them, and examine the conditions under which the mixtures phase separate. The approach approximates the matrix of second-virial coefficients of the mixture by a random matrix, and determines the stability of the mixture from the spectrum of such random matrices.
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