Peculiarity of the Coulombic criticality?

N. V. Brilliantov, C. Bagnuls, C. Bervillier

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


A field-theoretical approach to the restricted primitive model of charged hard spheres is proposed. It uses a scalar field φ, similar to that of the sine-Gordon theory of Coulomb gas, but allows taking into account the hard-core interactions. We observe that near criticality the effective Landau-Ginzburg-Wilson Hamiltonian obtained has a negative φ4 coefficient. A non-perturbative RG analysis of such a Hamiltonian shows that this may lead either to a first-order transition or to an Ising-like critical behavior, the partition being formed by the tricritical surface. This may explain the theoretical wavering encountered in the literature relative to the nature of the Coulombic criticality.

Original languageEnglish
Pages (from-to)274-278
Number of pages5
JournalPhysics Letters A
Issue number3-4
Publication statusPublished - 17 Aug 1998
Externally publishedYes


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