Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2004-03-04
Phys. Rev. E, 69 061603 (2004)
Physics
Condensed Matter
Soft Condensed Matter
LaTeX, 15 pages with 3 figures
Scientific paper
10.1103/PhysRevE.69.061603
In this paper we consider the two-loop calculation of the disjoining pressure of a symmetric electrolytic soap film. We show that the disjoining pressure is finite when the loop expansion is resummed using a cumulant expansion and requires no short distance cut-off. The loop expansion is resummed in terms of an expansion in g=l_B/l_D where l_D is the Debye length and l_B is the Bjerrum length. We show that there there is a non-analytic contribution of order g*ln(g). We also show that the two-loop correction is greater than the one-loop term at large film thicknesses suggesting a non-perturbative correction to the one-loop result in this limit.
Dean David S.
Horgan Ronald R.
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