Gibbs paradox and a possible mechanism of like-charge attraction in colloids

Details Gibbs paradox and a possible mechanism of like-charge attraction in colloids Gibbs paradox and a possible mechanism of like-charge attraction in colloids

2011-12-30

arxiv.org/abs/1201.0069v1

Physics

Condensed Matter

Soft Condensed Matter

9 pages, 4 figures

Scientific paper

Based on a reconsideration of the Gibbs paradox, we show that a residual, non-extensive term in entropy turns up upon mixing identical particles, whether they are indistinguishable or not. The positive contribution from this residual entropy leads to a decrease in free energy, and we suggest that this entropic mechanism may serve as a source of like-charge attractions between a pair of colloidal particles or other macroions. For a system of two colloidal particles along with their neutralizing counterions, such decrease in free energy is of a few thermal energies and therefore crucial to the effective interaction between the particles.

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