Correlation functions in ionic liquid at coexistence with ionic crystal. Results of the Brazovskii-type field theory

Abstract

Correlation functions in the restricted primitive model are calculated within a field-theoretic approach in the one-loop self-consistent Hartree approximation. The correlation functions exhibit damped oscillatory behavior as found before in the Gaussian approximation [Ciach at. al., J. Chem. Phys. {\bf 118}, 3702 (2003)]. The fluctuation contribution leads to a renormalization of both the amplitude and the decay length of the correlation functions. The renormalized quantities show qualitatively different behavior than their mean-field (MF) counterparts. While the amplitude and the decay length both diverge in MF when the $\lambda$-line is approached, the renormalized quantities remain of order of unity in the same dimensionless units down to the coexistence with the ionic crystal. Along the line of the phase transition the decay length and the period of oscillations are independent of density, and their values in units of the diameter of the ions are ${\alpha }_0^{-1}\approx 1$ and $2\pi /{\alpha }_1\approx 2.8$ respectively.

21 pages including 9 figures

References in corpus (5)

• Mesoscopic theory for size- and charge- asymmetric ionic systems. I. Case of extreme asymmetry
• Field-theoretic description of ionic crystallization in the restricted primitive model
• Anisotropic Lattice Models of Electrolytes
• Lattice Models of Ionic Systems with Charge Asymmetry
• Universality class of the critical point in the restricted primitive model of ionic systems

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• Mesoscopic theory for inhomogeneous mixtures
• Effect of mesoscopic fluctuations on equation of state in cluster-forming systems
• Spin-Glass Charge Ordering in Ionic Liquids
• Correct scaling of the correlation length from a theory for concentrated electrolytes
• Effects of fluctuations on correlation functions in inhomogeneous mixtures
• Correlation functions in mixtures with energetically favoured nearest-neighbours of different kind: a size-asymmetric case