Density Fluctuations in an Electrolyte from Generalized Debye-Hueckel Theory

Details Density Fluctuations in an Electrolyte from Generalized Debye-Hueckel Theory Density Fluctuations in an Electrolyte from Generalized Debye-Hueckel Theory

1996-01-16

arxiv.org/abs/cond-mat/9601057v2

Phys. Rev. Lett. 76, 2906 (1996).

Physics

Condensed Matter

5 pages, REVTeX, 1 ps figure included with epsf. Minor changes, references added. Accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.76.2906

Near-critical thermodynamics in the hard-sphere (1,1) electrolyte is well described, at a classical level, by Debye-Hueckel (DH) theory with (+,-) ion pairing and dipolar-pair-ionic-fluid coupling. But DH-based theories do not address density fluctuations. Here density correlations are obtained by functional differentiation of DH theory generalized to {\it non}-uniform densities of various species. The correlation length $\xi$ diverges universally at low density $\rho$ as $(T\rho)^{-1/4}$ (correcting GMSA theory). When $\rho=\rho_c$ one has $\xi\approx\xi_0^+/t^{1/2}$ as $t\equiv(T-T_c)/T_c\to 0+$ where the amplitudes $\xi_0^+$ compare informatively with experimental data.

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