Chapter 12. Electrostatic properties of membranes: The Poisson-Boltzmann theory
D. Andelman
School of Physics and Astronomy, Tel Aviv University,
Ramat Aviv 69978, Tel Aviv, Israel
1. Introduction
2. Charged surfaces in liquids: general considerations
2.1. Poisson-Boltzmann equation3. A single flat and charged membrane
2.2. Electrostatic free energy and electrostatic pressure
2.3. Beyond Poisson-Boltzmann: recent theory and experiment
3.1. No added electrolyte4. Two flat charged membranes
3.2. Added electrolyte
4.1. No added electrolyte5. Flexible and charged membranes: general considerations
4.2. Added electrolyte
6. A single charged and flexible membrane
6.1. Electrostatic boundary conditions for bilayer membranes7. A stack of charged lamellae
6.2. One curved (spherical or cylindrical) charged membrane
6.3. One undulating membrane
6.4. Membranes with variable surface charge density
7.1. Suppression of Helfrich interactions by electrostatics8. Conclusions and future prospects
7.2. Rigidity of charged lamellae
Acknowledgments
References