Nonlinear Poisson-Boltzmann theory of a Wigner-Seitz model for swollen clays

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 2, 2000, Pages 1634-1647

  Leote de Carvalho, R J F ^a,b   Trizac, E ^c   Hansen, J P ^d  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b Laboratoire de Physique UMR CNRS ENSL   (France)

^c UNIVERSITÉ PARIS SUD   (France)

^d UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; LINEARIZATION; NONLINEAR EQUATIONS; PLATELETS; POISSON EQUATION;

ELECTROSTATIC POTENTIALS; LAPONITE CLAY; POISSON-BOLTZMANN; POISSON-BOLTZMANN EQUATIONS; POISSON-BOLTZMANN THEORY; POTENTIAL PROFILES; PRIMITIVE MODEL; WIGNER-SEITZ CELL;

ALGORITHMS;

EID: 0001552437     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.1634     Document Type: Article

References (25)

1. G. Gouy, J. Phys. (France) 9, 457 (1910).
2. D.I. Chapman, Philos. Mag. 25, 475 (1913).
3. A.T. Augousti amd G. Rickayzen, J. Chem. Soc., Faraday Trans. 2 80, 141 (1984)
4. V. Kralj-Iglic and A. Iglic, J. Phys. II 6, 477 (1996)
5. T. Biben, J.-P. Hansen, and Y. Rosenfeld, Phys. Rev. E 57, R3727 (1998).
6. D. Andelman, in Membranes, their Structure and Conformations, edited by R. Lipowsky and E. Sackmann (Elsevier, Amsterdam, 1996).
7. M. Dubois, T. Zemb, L. Belloni, A. Delville, P. Levitz, and R. Setton, J. Chem. Phys. 96, 2278 (1992).
8. B.V. Derjaguin and L. Landau, Acta Physicochim. URSS 14, 633 (1941).
9. E.J. Verwey and J.Th.G. Overbeek, Theory of the Stability of Lyotropic Colloids (Elsevier, Amsterdam, 1948).
10. O. Stern, Z. Elektrochem. 30, 508 (1924).
11. R.M. Fuoss, A. Katchalsky, and S. Lifson, Proc. Natl. Acad. Sci. USA 37, 579 (1951).
12. G.S. Manning, J. Chem. Phys. 51, 924 (1969).
13. See, e.g., S. Alexander, P.M. Chaikin, P. Grant, J.M. Morales, P. Pincus, and D. Hone, J. Chem. Phys. 80, 5776 (1984).
14. T. Gisler, S.F. Schulz, M. Bokovec, H. Sticker, P. Schurtenberger, B. d’Aguanno, and R. Klein, J. Chem. Phys. 101, 9924 (1994).
15. J.C. Crocker and D.G. Grier, Phys. Rev. Lett. 77, 1897 (1996).
16. Laporte Inorganics, Laponite Technical Bulletin L104/90/A (unpublished).
17. E. Trizac and J.-P. Hansen, J. Phys.: Condens. Matter 9, 2683 (1997).
18. E. Trizac and J.-P. Hansen, Phys. Rev. E 56, 3137 (1997).
19. R.B. Secor and C.J. Radke, J. Colloid Interface Sci. 103, 237 (1985)
20. J. Colloid Interface Sci.F.R.C. Chang and G. Sposito, 163, 19 (1994).
21. R.J.F. Leote de Carvalho, E. Trizac, and J.-P. Hansen, Europhys. Lett. 43, 369 (1998).
22. G.N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. (Cambridge University Press, Cambridge, 1995).
23. A.A. Broyles, J. Chem. Phys. 33, 456 (1960).
24. J.-P. Hansen and E. Trizac, Physica A 235, 257 (1997).
25. T. Palberg, W. Mönch, F. Bitzer, R. Piazza, and T. Bellini, Phys. Rev. Lett. 74, 4555 (1995).