Debye-Hueckel-Bjerrum theory for charged colloids

Details Debye-Hueckel-Bjerrum theory for charged colloids Debye-Hueckel-Bjerrum theory for charged colloids

1998-02-12

arxiv.org/abs/cond-mat/9802138v1

Physics

Condensed Matter

Soft Condensed Matter

7 pages, 3 Postscript figures, uses multicol.sty, submitted to Physica A

Scientific paper

We formulate an extension of the Debye-Hueckel-Bjerrum theory [M. E. Fisher and Y. Levin, Phys. Rev. Lett. 71, 3826 (1993)] to the fluid state of a highly asymmetric charged colloid. Allowing for the formation of clusters consisting of one polyion and n condensed counterions, the total Helmholtz free energy of the colloidal suspension is constructed. The thermodynamic properties, such as the cluster-density distribution and the pressure, are obtained by the minimization of the free energy under the constraints of fixed number of polyions and counterions. In agreement with the current experimental and Monte Carlo results, no evidence of any phase transition is encountered.

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