Dynamics of counterion condensation

Europhysics Letters

Volumn 52, Issue 1, 2000, Pages 47-53

  Golestanian, R ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES IASBS   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034287127     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2000-00402-x     Document Type: Article

References (18)

1. ZIMM B. H. and LE BRET M., J. Biomol. Struct. Dyn., 1 (1983) 461.
2. OOSAWA F., Biopolymers, 6 (1968) 134; OOSAWA F., Polyelectrolytes (Marcel Dekker, New York) 1971.
3. OOSAWA F., Biopolymers, 6 (1968) 134; OOSAWA F., Polyelectrolytes (Marcel Dekker, New York) 1971.
4. MANNING G. S., J. Chem. Phys., 51 (1969) 954.
5. SAFRAN S. A., Statistical Thermodynamics of Surfaces, Interfaces, and Membranes (Addison-Wesley, Reading, MA) 1994.
6. FUOSS R. M., KATCHALSKY A. and LIFSON S., Proc. Natl. Acad. Sci. USA, 37 (1951) 579.
7. For a nice discussion on counterion condensation and distinguishing criteria for condensed counterions, see: DESERNO M., HOLM C. and MAY S., Macromolecules, 33 (2000) 199.
8. HUNTER R. J., Foundations of Colloid Science (Oxford University Press, New York) 1986.
9. We assume that the dynamics of the macroions is considerably slower than that of the counterions.
10. LEVICH V. G., Physicochemical Hydrodynamics (Prentice-Hall, London) 1962.
11. BARRAT J.-L. and JOANNY J.-F., Adv. Chem. Phys., XCIV (1996) 1.
12. KARDAR M., PARISI G. and ZHANG Y.-C., Phys. Rev. Lett., 56 (1986) 889; BRUINSMA R. and ALEXANDER S., J. Chem. Phys., 92 (1990) 3074.
13. KARDAR M., PARISI G. and ZHANG Y.-C., Phys. Rev. Lett., 56 (1986) 889; BRUINSMA R. and ALEXANDER S., J. Chem. Phys., 92 (1990) 3074.
14. MANNING G. S., J. Phys. Chem., 85 (1981) 1506.
15. One can show that the solution with maximum number of comoving counterions is the stable solution. I am indebted to R. DA SILVEIRA for pointing this out to me.
16. ex), due to Gauss' law.
17. For an alternative situation, see, e.g., LONG D., VIOVY J.-L. and AJDARI A., Phys. Rev. Lett., 76 (1996) 3858.
18. See, e.g., BITTAR E. E. (Editor), Membranes and Ion Transport (Wiley, London) 1970.