Weak non-linear surface charging effects in electrolytic films

Details Weak non-linear surface charging effects in electrolytic films Weak non-linear surface charging effects in electrolytic films

2002-10-22

arxiv.org/abs/cond-mat/0210495v1

Physics

Condensed Matter

Soft Condensed Matter

17 pages, 12 figures, latex source

Scientific paper

10.1103/PhysRevE.68.051104

A simple model of soap films with nonionic surfactants stabilized by added electrolyte is studied. The model exhibits charge regularization due to the incorporation of a physical mechanism responsible for the formation of a surface charge. We use a Gaussian field theory in the film but the full non-linear surface terms which are then treated at a one-loop level by calculating the mean-field Poisson-Boltzmann solution and then the fluctuations about this solution. We carefully analyze the renormalization of the theory and apply it to a triple layer model for a thin film with Stern layer of thickness $h$. For this model we give expressions for the surface charge $\sigma(L)$ and the disjoining pressure $P_d(L)$ and show their dependence on the parameters. The influence of image charges naturally arise in the formalism and we show that predictions depend strongly on $h$ because of their effects. In particular, we show that the surface charge vanishes as the film thickness $L \to 0$. The fluctuation terms about this class of theories exhibit a Casimir-like attraction across the film and although this attraction is well known to be negligible compared with the mean-field component for thick films in the presence of electrolyte, in the model studied here these fluctuations also affect the surface charge regulation leading to a fluctuation component in the disjoining pressure which has the same behavior as the mean-field component even for large film thickness.

Affiliated with

Also associated with

No associations

Rating

Weak non-linear surface charging effects in electrolytic films does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Weak non-linear surface charging effects in electrolytic films, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weak non-linear surface charging effects in electrolytic films will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-505510