Correlation functions for the electrolyte near the critical point of pure solvent

Abstract

Correlation functions are calculated for the multicomponent electrolyte near the critical point of the pure solvent. Our results generalize the well-known Debye-Hückel and Ornstein-Zernike results. Both the liquid-vapour and the phase separation critical points are investigated. It has been found that the interaction between the long-range modes of the order parameter and the charge density leads to some instability. The charge-density and order-parameter wave may appear. In the strong interaction case the correlation functions may oscillate in space with or without an exponential damping.