Field theoretic calculation of the surface tension for a model electrolyte system

Details Field theoretic calculation of the surface tension for a model electrolyte system Field theoretic calculation of the surface tension for a model electrolyte system

2003-11-07

arxiv.org/abs/cond-mat/0311163v1

Phys. Rev. E 69, 061603 (2004)

Physics

Condensed Matter

Soft Condensed Matter

LaTeX, 14 pages, 3 figures, 1 table

Scientific paper

We carry out the calculation of the surface tension for a model electrolyte to first order in a cumulant expansion about a free field theory equivalent to the Debye-H\"uckel approximation. In contrast with previous calculations, the surface tension is calculated directly without recourse to integrating thermodynamic relations. The system considered is a monovalent electrolyte with a region at the interface, of width h, from which the ionic species are excluded. In the case where the external dielectric constant epsilon_0 is smaller than the electrolyte solution's dielectric constant epsilon we show that the calculation at this order can be fully regularized. In the case where h is taken to be zero the Onsager-Samaras limiting law for the excess surface tension of dilute electrolyte solutions is recovered, with corrections coming from a non-zero value of epsilon_0/epsilon.

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