Simplified mean field theory for polyelectrolyte phase behaviour

Journal de Physique I

Volumn 7, Issue 2, 1997, Pages 343-361

  Warren, Patrick B ^a  

^a UNILEVER RESEARCH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FREE ENERGY; IONIZATION OF LIQUIDS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MIXING; PHASE SEPARATION; RANDOM PROCESSES; SALTS; SOLUTIONS;

DEBYE-HUCKEL SCREENING LENGTH; FLORY-HUGGINS THEORY; IONIZATION EQUILIBRIUM; SALT PARTITIONING;

POLYELECTROLYTES;

EID: 0031077998     PISSN: 11554304     EISSN: None     Source Type: Journal    
DOI: 10.1051/jp2:1997129     Document Type: Article

References (29)

1. Flory P.J., Principles of Polymer Chemistry (Ithaca, 1953).
2. des Cloizeaux J. and Jannink G., Polymers in solution (Clarendon, 1990).
3. de Gennes P.G., Scaling Concepts in Polymer Physics (Ithaca, 1979).
4. Micaeli I., Overbeek J.Th.G. and Voorn M.J., J. Pol. Sci. 23 (1957) 443;
5. Hall D.G., J. Chem. Soc. Faraday Trans. 77 (1981) 1121;
6. Groot R.D., J. Chem. Phys. 94 (1991) 5083.
7. Khokhlov A.R. and Nyrkova I.A., Macromolecules 25 (1992) 1493.
8. Borue V.Y. and Erukhimovich I.Ya., Macromolecules 21 (1988) 3240.
9. Joanny J.F. and Liebler L., J. Phys. France 51 (1990) 545.
10. Belloni L., Olvera de la Cruz M., Delsanti M., Dalbiez J.P., Spalla O. and Drifford M., Il Nuovo Cimento 16 (1994) 727.
11. Olvera de la Cruz M., Belloni L., Delsanti M., Dalbiez J.P., Spalla O. and Drifford M., J. Chem. Phys. 103 (1995) 5781.
12. Wittmer J., Johner A. and Joanny J.F., J. Phys. II France 5 (1995) 635.
13. Manning G.S., J. Chem. Phys. 51 (1969) 954.
14. See e.g. Guggenheim E.A., Thermodynamics (North Holland, 1957).
15. Lekkerkerker H.N.W., Pusey P.N., Stroobants A. and Warren P.B., Europhys. Lett. 20 (1992) 559.
16. See e.g. Landau L.D. and Lifshitz E.M., Statistical Physics, 3rd ed., part 1 (Pergamon, 1980).
17. Clegg S.M., Hall D.G., Robb I.D., Williams P.A., Ber. Bunsen-Gesellschaft 100 (1996) 780.
18. Barrat J.L. and Joanny J.F., Europhys. Lett. 24 (1993) 333;
19. J. Phys. II France 4 (1994) 1089;
20. Witten T.A. and Pincus P., J. Phys. II France 4 (1994) 1103.
21. Edwards S.F., Proc. Phys. Soc. London 88 (1966) 1265;
22. See also Doi M. and Edwards S.F., Theory of Polymer Dynamics (OUP, 1986).
23. Hansen J.P. and McDonald I.R., Theory of Simple Liquids (Acadamic, 1976).
24. The loop expansion is that described by des Cloizeaux [2], applied to point ions in solution; see also Hansen and McDonald [18].
25. a has to be subtracted from the formally divergent integral in equation (39) to get the Debye-Hückel result; this can be viewed as a chemical potential renormalization corresponding to the removal of the electrostatic self energy of the ions.
26. It is possible to linearise the polyelectrolyte analogue of the Poisson-Boltzmann equation: Borukhov I., Andelman D. and Orland H., Europhys. Lett. 32 (1995) 499.
27. Joanny J.F. and Pincus P., Polymer 21 (1980) 274.
28. See also the recent developments in Fisher M.E. and Levin Y., Phys. Rev. Lett. 71 (1993) 3826;
29. Levin Y., Li X. and Fisher M.E., Phys. Rev. Lett. 73 (1994) 2716.