A singular perturbation approach to the steady-state 1D Poisson-Nernst-Planck modeling

Acta Physica Polonica B

Volumn 39, Issue 5, 2008, Pages 1137-1160

  Kosińska, Ilona D ^a,b   Goychuk, I ^a   Kostur, M ^a,c   Schmid, G ^a   Hanggi P ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b JAGIELLONIAN UNIVERSITY   (Poland)

^c UNIVERSITY OF SILESIA   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CHARGE DENSITY; PHYSICS; POISSON DISTRIBUTION; POISSON EQUATION;

ANALYTICAL RESULTS; CHANNEL LENGTHS; CHANNEL WALLS; CHARACTERISTIC LENGTHS; DEBYE LENGTHS; DEBYE SCREENING LENGTHS; ION TRANSPORTS; PERTURBATION PARAMETERS; PNP SYSTEMS; SINGULAR PERTURBATION THEORIES; SINGULAR PERTURBATIONS; STATE SOLUTIONS;

PERTURBATION TECHNIQUES;

EID: 55249094576     PISSN: 05874254     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (14)

1. A.H. Nayfeh, Perturbation Methods (Pure and Applied Mathematics), John Wiley and Sons, New York 2000.
2. Z. Siwy, A. Apel, D.D. Dobrev, R. Neumann, R. Spohr, C. Trautmann, K. Voss, Nucl. Instrum. Methods B208, 143 (2003).
3. Z. Siwy, Y.C. Gu, H.A. Spohr, D. Baur, A. Wolf-Reber, R. Spohr, P. Apel, Y.E. Korchev, Biophys. J. 82, 266A, (2002);
4. Z. Siwy, P. Apel, D. Baur, D.D. Dobrev, Y.E. Korchev, R. Neumann, R. Spohr, C. Trautmann, K.-O. Voss, Surf. Sci. 532-535, 1061 (2003);
5. Z. Siwy, A. Fulinski Am. J. Phys. 72, 567 (2004).
6. I.D. Kosińska, I. Goychuk, M. Kostur, G. Schmid, P. Hänggi, Phys. Rev. E77, 031131 (2008).
7. M.B. Jackson, Molecular and Cellular Biophysics, Cambridge University Press, Cambridge 2006.
8. R.A. Robinson, R.H. Stokes, Electrolyte Solutions, Butterworth, London 1955.
9. V. Barcilon, D.-P. Chen, R.S. Eisenberg, J.W. Jerome, SIAM J. Appl. Math. 57, 631 (1997).
10. J. Cervera, B. Schied, R. Neumann, S. Mafe, P. Ramirez, J. Chem. Phys. 124, 104706 (2006).
11. D. Gillespie, R.S. Eisenberg, Phys. Rev. E63, 061902 (2001).
12. NAG Fortran Library Manual, Mark 20, The Numerical Algorithm Group Limited, Oxford, England 2001.
13. C.L. Gardner, W. Nonner, R.S. Eisenberg, J. Comput. Electr. 3, 25 (2004).
14. G. Arfken, Mathematical Methods for Physicists, Academic Press, Orlando, FL 1985.