Predicting phase equilibria in polydisperse systems
نویسندگان
چکیده
منابع مشابه
Predicting phase equilibria in polydisperse systems
Many materials containing colloids or polymers are polydisperse: they comprise particles with properties (such as particle diameter, charge, or polymer chain length) that depend continuously on one or several parameters. This review focuses on the theoretical prediction of phase equilibria in polydisperse systems; the presence of an effectively infinite number of distinguishable particle specie...
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A set of colloidal particles (be they sterically-or charge-stabilized) can never be made truly identical. They are polydisperse in their sizes (or charges), and their interactions are a function of that property. A truly polydisperse system in the thermodynamic limit contains innnitely many species. Therefore, calculations of phase equilibria involve innnitely many coexistence constraints (a di...
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A “polydisperse” system has an infinite number of conserved densities. We give a rational procedure for projecting its infinite-dimensional free energy surface onto a subspace comprising a finite number of linear combinations of densities (“moments”), in which the phase behavior is then found as usual. If the excess free energy of the system depends only on the moments used, exact cloud, shadow...
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The use of moment densities for understanding phase transition kinetics in polydisperse systems is discussed. The role of size partitioning and the distinction between quenched and annealed phase diagrams is emphasised. Polydisperse FloryÈHuggins theory is used as an example, and CahnÈHilliard type equations for the local moment densities are constructed for this model via a random phase approx...
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ژورنال
عنوان ژورنال: Journal of Physics: Condensed Matter
سال: 2001
ISSN: 0953-8984,1361-648X
DOI: 10.1088/0953-8984/14/3/201