Increased disjoining pressure between charge-modulated surfaces
- ISSN: 09538984
- DOI: 10.1088/0953-8984/14/33/307
Abstract
We consider the electrostatic potential arising from charge-modulated planes. By partitioning the potential, we treat the system partially within full non-linear PoissonBoltzmann (PB) theory, and partially within linearized PB theory. Using this partial linearization, we generate closed-form expressions for the electrostatic potential arising from a single plate, in both salt-free and added-salt environments, and for two parallel plates, in the salt-free case only. We show that these potentials are a much better approximation to the exact PB potential than those generated by full linearization. We then show how one may use the potential between two such charge-modulated plates to generate expressions for the disjoining pressure and transverse stress induced by the charge modulation. We show that the disjoining pressure thus calculated can be significantly (2030%) different to that calculated from uniformly charged plates of the same average charge.
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