Peculiarity of the Coulombic Criticality ?

Details Peculiarity of the Coulombic Criticality ? Peculiarity of the Coulombic Criticality ?

1997-06-30

arxiv.org/abs/cond-mat/9706295v1

Physics

Condensed Matter

4 pages, LaTeX, 3 figures

Scientific paper

10.1016/S0375-9601(98)00398-3

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.

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