Field-Theoretic Approach to Ionic Systems: Criticality and Tricriticality

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dc.creatorCiach, A.
dc.creatorStell, G.
dc.date2000-07-17
dc.date.accessioned2026-07-07T02:38:14Z
dc.date.available2026-07-07T02:38:14Z
dc.descriptionA Landau-Ginzburg functional of two order parameters (charge-density $ϕ$ and mass-density deviation $η$) is developed in order to yield a field theory relevant to ionic lattice gases as well as a family of off-lattice models of ionic fluids that go beyond the restricted primitive model (RPM). In a mean-field (MF) approximation an instability of a uniform phase with respect to charge fluctuations with a wave-number $k\ne 0$ is found. This second-order transition to a charge-ordered phase terminates at a tricritical point (tcp). Beyond MF, a singularity of a mass correlation function for $k\to 0$ occurs at ion concentration lower than that of the MF tcp. An effective functional depending only on $η$ is constructed. For low ion concentration the usual Landau form of the simple-fluid (Ising) functional is obtained; hence in this theory the critical point is in the Ising universality class.
dc.description23 pages and 4 figures. Figure 4 has parts a and b, which are in separate figs. (i. e., the figures take 5 pages)
dc.identifierhttps://arxiv.org/abs/cond-mat/0007286
dc.identifierhttp://arxiv.org/abs/cond-mat/0007286
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16597
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleField-Theoretic Approach to Ionic Systems: Criticality and Tricriticality
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