On the bulk modulus of the cell model of charged macromolecules suspensions

Details On the bulk modulus of the cell model of charged macromolecules suspensions On the bulk modulus of the cell model of charged macromolecules suspensions

2002-09-04

arxiv.org/abs/cond-mat/0209114v2

J. Chem. Phys. 118, 3362-3367 (2003)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1063/1.1538604

We study theoretically the bulk modulus (inverse of the compressibility) of a suspension of charged objects (macro-ions), making use of a cell model to account for the finite density of macro-ions. The diffuse layer of charged micro-species around a macro-ion is described by a generic local density functional theory. Within this general framework, we obtain the condition for a positive bulk modulus, which is fulfilled by several proposals made in the literature and rules out the possibility of a critical point. We show that a sufficient condition for a positive compressibility also ensures that the same theory produces repulsive effective pair potentials.

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