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Peculiarity of the Coulombic Criticality ?

N. V. Brilliantov·J. P. Valleau·C. Bagnuls·C. Bervillier
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Abstract

We indicate that Coulombic systems could correspond to Wilson effective Hamiltonians similar to that of the ordinary (nonionic) fluids but with a negative $ϕ^4$-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.

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N. V. Brilliantov, J. P. Valleau, C. Bagnuls, C. Bervillier. 1997-06-30. Peculiarity of the Coulombic Criticality ?. https://doi.org/10.1016/s0375-9601(98)00398-3

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