Electrical structures of interfaces: a Painleve II model

Bass, L., Nimmo, J. J. C., Rogers, C. and Schief, W. K. (2010) Electrical structures of interfaces: a Painleve II model. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 466(2119), pp. 2117-2136. (doi:10.1098/rspa.2009.0620)

Full text not currently available from Enlighten.

Publisher's URL: http://dx.doi.org/10.1098/rspa.2009.0620

Abstract

A Painleve II model derived out of the classical Nernst-Planck system is applied in the context of boundary value problems that describe the electric field distribution in a region x > 0 occupied by an electrolyte. For privileged flux ratios of the ion concentrations, the auto-Backlund transformation admitted by the Painleve II equation may be applied iteratively to construct exact solutions to classes of physically relevant boundary value problems. These representations involve, in turn, either Yablonskii-Vorob'ev polynomials or classical Airy functions. The requirement that the electric field distribution and ion concentrations in these representations be non-singular imposes constraints on the physical parameters. These are investigated in detail along with asymptotic properties.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Nimmo, Dr Jonathan
Authors: Bass, L., Nimmo, J. J. C., Rogers, C., and Schief, W. K.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
ISSN:1364-5021
ISSN (Online):1471-2946

University Staff: Request a correction | Enlighten Editors: Update this record