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Instabilities in complex mixtures with a large number of components
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Inside living cells are complex mixtures of thousands of components. It is hopeless to try to characterise 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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Statistical mechanics of fluids with hidden degrees of freedom
A statistical-mechanics model with hidden degrees of freedom yields equilibrium microphase separation, challenging the assumption that such patterns require non-equilibrium driving.
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