%0 Journal Article
%T Peculiarity of the Coulombic Criticality ?
%A N. V. Brilliantov
%A J. P. Valleau
%A C. Bagnuls
%A C. Bervillier
%J Physics
%D 1997
%I arXiv
%R 10.1016/S0375-9601(98)00398-3
%X We indicate that Coulombic systems could correspond to Wilson effective Hamiltonians similar to that of the ordinary (nonionic) fluids but with a negative $\phi^4$-coefficient. In that case, solving the ``exact'' renormalization group equation in the local potential approximation, we show that close initial Hamiltonians may lead either to a first order transition or to an Ising-like critical behavior, the partition being formed by the tri-critical surface. Hence the theoretical wavering encountered in the literature concerning the nature of the Coulombic criticality may not appear senseless.
%U http://arxiv.org/abs/cond-mat/9706295v1