@article{00e9f6ff97a449e084480b5768e2c0f2,
title = "Breakdown of a stationary solution to the Nernst-Planck-Poisson equations",
abstract = "This report shows an oscillatory instability, at sufficiently high voltage, of a representative steady solution to equations describing the passage of current through an unstirred layer of electrolyte adjacent to an ideal cation exchange membrane. This instability may be the harbinger of further {"}turbulent-like{"} transitions that correspond to observed unsteadiness at high voltages.",
author = "Isaak Rubinstein and Segel, {Lee A.}",
note = "Funding Information: Investigation of this matter would require considerable extension of the already lengthy calculations. Thus, we shall content ourselves at present with this demonstration that oscillatory instabilities can be a property of certain solutions to the NPP equations. I. R.{\textquoteright}s visit to Cambridge was supported by the Kennedy and Bnai Brith Founda-tions. L. A. S. was supported by the U.S. Army Research Ofice. 0.Kedem, I. Rubinstein and L. A. Segel, Desalination, in press.R. Simons, personal communication. I. Rubinstein and L. J. Shtilman, J.C.S. Faraday ZZ, 1979, 75,231. S. Lifson, B. Gavish and S. Reich, Biophys. Structure Mechanism, 1978, 4, 53. A.M.Turing, Phil. Trans. B, 1952,237,37. L.A.Segel and J. L. Jackson, J. Theor. Biol., 1972, 37, 545. {\textquoteright}P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability and Fliictcmtions (Wiley, New York, 1971). (PAPER 91012)",
year = "1979",
month = dec,
day = "1",
doi = "10.1039/F29797500936",
language = "English",
volume = "75",
pages = "936--940",
journal = "Journal of the Chemical Society, Faraday Transactions 2: Molecular and Chemical Physics",
issn = "0300-9238",
publisher = "Faraday Division of the Chemical Society",
}