Article

Debye–Hückel–Bjerrum theory for charged colloids

Instituto de Fı́sica, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, 91501-970 Porto Alegre (RS), Brazil
Physica A: Statistical Mechanics and its Applications 09/1998; 258(s 3–4):341–351. DOI: 10.1016/S0378-4371(98)00238-6
Source: arXiv

ABSTRACT We formulate an extension of the Debye–Hückel–Bjerrum theory [M.E. Fisher, Y. Levin, Phys. Rev. Lett. 71 (1993) 3826] 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 a 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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