Journal of Physical Studies 13(1), Article 4002 [8 pages] (2009) DOI: https://doi.org/10.30970/jps.13.4002 FIELD THEORY FOR CLASSICAL SYSTEMS. ENTROPIC EFFECTS. APPLICATION TO NON HOMOGENEOUS ELECTROLYTES D. Di Caprio1, J. P. Badiali1, M. Holovko2 1Laboratory of Electrochemistry, Chemistry of Interfaces and Modelling for Energy (LECIME), UMR 7575 CNRS, Chimie ParisTech, University Paris 6, B.C. 39, 4. Pl. Jussieu, 75252 Paris Cedex 05, France 2Institute for Condensed Matter Physics, 1, Svientsitskii St., UA--79011, Lviv, Ukraine

In a series of papers, we have presented a field theory to describe the liquid state. In contrast to other field theory approaches, we do not start from Gibbs partition function in terms of particles. The direct use of a field theory assumption leads to a simple formulation in terms of a Hamiltonian functional. The form of this functional is partly reminiscent of other field theory approaches and of the density functional theory. However, the formal similarity of the functional is misleading. In this paper, we intend to clarify some aspects which may lead to confusion when interpreting this field theory approach. We compare the role of quantum effects in the traditional approach and in field theory.

PACS number(s): 05.20.-y, 65.40.Gr, 03.50.Kk, 61.20.Qg

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