Phase-Separation Transition in Liquid Mixtures Near Charged Objects

Details Phase-Separation Transition in Liquid Mixtures Near Charged Objects Phase-Separation Transition in Liquid Mixtures Near Charged Objects

2007-12-18

arxiv.org/abs/0712.2901v2

J. Chem. Phy. vol 129, 061101 (2008)

Physics

Condensed Matter

Statistical Mechanics

final version, includes small changes and typo corrections

Scientific paper

10.1063/1.2965906

We study the thermodynamic behavior of nonpolar liquid mixtures in the vicinity of curved charged objects, such as electrodes or charged colloids. For small enough charge on the object, or equivalently, small potential, the dielectrophoretic force leads to enrichment of the more polar liquid close the colloid. However, there is a critical value of charge (or potential), above which a phase-separation transition occurs, and the interface between high- and low-dielectric constant components becomes sharp. Analytical and numerical composition profile are given, and the equilibrium front location as a function of charge or voltage is found. We further employ a simple Cahn-Hilliard type equation to study the dynamics of phase-separation in spatially nonuniform electric fields. We find an exponential relaxation of the composition front location, with a characteristic time depending on the charge, mixture composition and ambient temperature.

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