Langevin Poisson-Boltzmann equation: Point-like ions and water dipoles near a charged surface

General Physiology and Biophysics

Volumn 30, Issue 2, 2011, Pages 130-137

  Gongadze, Ekaterina ^a   Van Rienen, Ursula ^a   Kralj Iglič, Veronika ^b   Iglič, Ales ^b  

^a UNIVERSITY OF ROSTOCK   (Germany)

^b UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

Dielectric permittivity; Electric double layer; Langevin Poisson Boltzmann equation; Langevin Bikerman equation; Orientational ordering of water

Indexed keywords

ELECTROLYTE; ION; WATER;

ARTICLE; DIPOLE; ELECTRIC FIELD; ENERGY; FINITE ELEMENT ANALYSIS; LANGEVIN POISSON BOLTZMANN EQUATION; MATHEMATICAL ANALYSIS; PARTICLE SIZE; STATIC ELECTRICITY; SURFACE CHARGE;

CHEMISTRY; ELECTROLYTES; FINITE ELEMENT ANALYSIS; IONS; LIGANDS; MODELS, STATISTICAL; POISSON DISTRIBUTION; STATIC ELECTRICITY; WATER;

EID: 79954539880     PISSN: 02315882     EISSN: None     Source Type: Journal    
DOI: 10.4149/gpb_2011_02_130     Document Type: Article

References (26)

1. Abrashkin A., Andelman D., Orland H. (2007): Dipolar Poisson-Boltzmann equation: ions and dipoles close to charge surface. Phys. Rev. Lett. 99, 077801 doi:10.1103/PhysRevLett.99.077801
2. Arsov Z., Rappolt M., Grdodolnik J. (2009): Weakened hydrogen bonds in water confined between lipid bilayers: the existence of a long-range attractive hydration force. Chem. Phys. Chem. 10, 1438-1441 doi:10.1002/cphc.200900185
3. Bazant M. Z., Kilic M. S., Storey B., Ajdari A. (2009): Towards an understanding of induced-charge electrokinetics at large applied voltages in concentrated solutions. Adv. Colloid Interface Sci. 152, 48-88 doi:10.1016/j.cis.2009.10.001
4. Bikerman J. J. (1942): Structure and capacity of the electrical double layer. Phil. Mag. 33, 384-397
5. Bivas I. (2006): Electrostatic and mechanical properties of a flat lipid bilayer containing ionic lipids. Coll. Surf. A 282-283, 423-434 doi:10.1016/j.colsurfa.2005.12.010
6. Bivas I., Ermakov Y. A. (2007): Elasticity and electrostatics of amphiphilic layers. In: Advances in Planar Lipid Bilayers and Liposomes. (Ed. A. Leitmannova Liu), Vol. 5, pp. 313-343, Elsevier, Amsterdam doi:10.1016/S1554- 4516(06)05011-3
7. Booth F. (1951): The dielectric constant of water and the saturation effect. J. Chem. Phys. 19, 391-394 doi:10.1063/1.1748233
8. Butt H. J., Graf K., Kappl M. (2003): Physics and Chemistry of Interfaces. Wiley-VCH Verlag, Weinheim doi:10.1002/3527602313
9. Cevc G. (1990): Membrane electrostatics. Biochim. Biophys. Acta 1031, 311-382
10. Chapman D. L. (1913): A contribution to the theory of electrocapillarity. Philos. Mag. 25, 475-481
11. Coalson R. D., Duncan A. (1996): Statistical mechanics of a multipolar gas: a lattice field theory approach. J. Phys. Chem. 100, 2612-2620 doi:10.1021/jp952824m
12. Gouy M. G. (1910): Sur la constitution de la charge electrique a la surface d'un electrolyte. J. Physique (France) 9, 457-468
13. Gruen D. W. R., Marčelja S. J. (1983): Spatially varying polarization in Water. Chem. Soc., Faraday Trans. II 79, 225-242
14. Helmholtz H. A. (1879): Studien über elektrische Grenzschichten. Ann. Phys. 7, 337-382
15. Israelachvili J. N., Wennerström H. (1996): Role of hydration and water structure in biological and colloidal interactions. Nature 379, 219-225 doi:10.1038/379219a0
16. Iglič A., Gongadze E., Bohinc K. (2010): Excluded volume effect and orientational ordering near charged surface in solution of ions and Langevin dipoles. Bioelectrochemistry 79, 223-227 doi:10.1016/j.bioelechem.2010.05.003
17. Kralj-Iglič V., Iglič A. (1996): A simple statistical mechanical approach to the free energy of the electric double layer including the excluded volume. J. Phys. II (France) 6, 477-491 doi:10.1051/jp2:1996193
18. Kusalik P. G., Patey G. N. (1988): On the molecular theory of aqueous electrolyte solution. II. Structural and thermodynamic properties of different models at infinite dilution. J. Chem. Phys. 89, 5843-5851 doi:10.1063/1.455535
19. Lamperski S., Outhwaite C. W. (2002): Volume term in the inhomogeneous Poisson-Boltzmann theory for high surface charge. Langmuir 18, 3423-3424 doi:10.1021/1a011852v (Pubitemid 35383695)
20. Leland C., Allen L. C. (1974): Water. A Comprehensive Treatise. In: The Physics and Physical Chemistry of Water. (Ed. F. Franks), Vol. 1, Plenum, New York
21. Manciu M., Ruckenstein E. (2004): The polarization model for hydration/double layer interactions: the role of the electrolyte ions. Adv. Coll. Int. Sci. 112, 109-128 doi:10.1016/j.cis.2004.09.001
22. McLaughlin S. A. (1989): The electrostatic properties of membranes. Rev. Biophys. Chem. 18, 113-136 doi:10.1146/annurev.bb.18.060189.000553
23. Outhwaite C. W. (1976): A treatment of solvent effect in the potential theory of electrolyte solution. Mol. Phys. 31, 1345-1357 doi:10.1080/ 00268977600101061
24. Outhwaite C. W. (1983): Towards a mean electrostatic potential treatment of an ion-dipole mixture or a dipolar system next to a plane wall. Mol. Phys. 48, 599-614 doi:10.1080/00268978300100431
25. Stern O. (1924): Zur Theorie der elektrolytischen Doppelschicht. Zeitschrift für Elektrochemie 30, 508-516
26. Torrie M., Kusalik P., Patey G. (1989): Molecular solvent model for an electrical double layer: reference hypernetted chain results for potassium chloride solutions. J. Chem. Phys. 90, 4513-4527 doi:10.1063/1.456638