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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.
The present work is trying to explain a discrepancy between experimental observations of the drainage of foam films from aqueous solutions of sodium dodecyl sulfate (SDS) and the theoretical DLVO-accomplished Reynolds model. It is shown that, due to
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-Huckel approximation. In contrast with previous calculations, the surface tension is
We discuss instabilities of fluid films of nanoscale thickness, with a particular focus on films where the destabilising mechanism allows for linear instability, metastability, and absolute stability. Our study is motivated by nematic liquid crystal
We use momentum transfer arguments to predict the friction factor $f$ in two-dimensional turbulent soap-film flows with rough boundaries (an analogue of three-dimensional pipe flow) as a function of Reynolds number Re and roughness $r$, considering s
We develop a general framework for the description of instabilities on soap films using the Bjorling representation of minimal surfaces. The construction is naturally geometric and the instability has the interpretation as being specified by its ampl