Liquid crystals of polyelectrolyte networks

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

Volumn 63, Issue 6, 2001, Pages

  Bruinsma, R ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIREFRINGENCE; CROSSLINKING; FREE ENERGY; MATHEMATICAL MODELS; NEMATIC LIQUID CRYSTALS; PHASE DIAGRAMS; PHASE TRANSITIONS; SOL-GELS; SYNCHROTRON RADIATION; X RAY DIFFRACTION ANALYSIS;

EXOTIC MESOPHASES; ONSAGER THEORY; PHASE COEXISTENCE; POLYELECTROLYTE NETWORKS; POLYVALENT IONS; SYNCHROTRON X RAY DIFFRACTION;

POLYELECTROLYTES;

EID: 0035364760     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.061705     Document Type: Article

References (65)

1. L. Onsager, Ann. N.Y. Acad. Sci. 51, 627 (1949).
2. G. C. Berry, P. M. Cotts, and S. G. Chu, Polym. J. (Tokyo) 13, 47 (1981);
3. S. Yue, G. C. Berry, and M. M. Green, Polym. Prepr. (Am. Chem. Soc. Div. Polym. Chem.) 23, 529 (1991);
4. C. Wei-Berk and G. C. Berry, J. Appl. Polym. Sci. 45, 261 (1990).
5. P. van der Schoot, Ph.D. thesis, University of Delft, 1992, Ch. VII.
6. See also P. van der Schoot and T. Odijk, J. Chem. Phys. 97, 515 (1992).
7. For an introductory review to the physical aspects of actin polymers, see the following website by P. Janmey, J. Tang, and C. Schmidt: http://expmed.bwh.harvard.edu/projects/polymer/actin_chapter/index.htm.
8. C. Coppin and P. Leavis, Biophys. J. 63, 794 (1992);
9. R. Furukawa, R. Kundra, and M. Fechheimer, Biochemistry 32, 12 346 (1993);
10. J. Kas, Biophys. J. 70, 609 (1996);
11. P. Das, J. Xu, J. Roy, and N. Chakrabarti, J. Chem. Phys. 111, 8240 (1999).
12. A. Stroobants, H. N. M. Lekkerkerker, and T. Odijk, Macromolecules 19, 2232 (1986);
13. MacromoleculesZ. Y. Chen, 26, 3419 (1993);
14. J. Tang and S. Fraden, Liq. Cryst. 19, 459 (1995).
15. P. Janmey, S. Hvidt, J. Lamb, and T. Stossel, Nature (London) 345, 89 (1990).
16. M. Tempel, G. Isenberg, and E. Sackmann, Phys. Rev. E 54, 1802 (1996);
17. A. Palmer, J. Xu, and D. Wirtz, Rheol. Acta 37, 97 (1998).
18. For measurements of the rheological properties of actin, see B. Hinner, Phys. Rev. Lett. 81, 2614 (1998);
19. J. Kas, Biophys. J. 70, 609 (1996).
20. F. MacKintosh, J. Kas, and P. Janmey, Phys. Rev. Lett. 75, 4425 (1995);
21. Phys. Rev. Lett.R. Everaers, F. Julicher, A. Ajdari, and A. Maggs, 82, 3717 (1999);
22. H. Isambert and A. Maggs, Macromolecules 29, 1036 (1996);
23. D. C. Morse, Phys. Rev. E 58, 1237 (1998).
24. For an introduction to the effects of actin cross-linking on cell motility, T. Stossel, Sci. Am. 54 (September, 1994).
25. V. A. Bloomfield, Curr. Opin. Struct. Biol. 6, 334 (1996);
26. J. Tang and P. Janmey, J. Biol. Chem. 271, 8556 (1996);
27. J. Tang, Biochemistry 36, 12 600 (1997).
28. N. Gronbech-Jensen, R. Mashl, R. Bruinsma, and W. Gelbart, Phys. Rev. Lett. 78, 2477 (1997).
29. M. Stevens, Phys. Rev. Lett. 82, 101 (1999).
30. B. Y. Ha and A. J. Liu, Europhys. Lett. 46, 624 (1999).
31. G. Wong, Y. Li, and C. Safinya (unpublished).
32. J. V. Selinger and R. F. Bruinsma, Phys. Rev. A 43, 2910 (1991).
33. R. Kamien and D. Nelson, Phys. Rev. Lett. 74, 2499 (1995).
34. P.-G. de Gennes, P. Pincus, R. Velasco, and F. Brochard, J. Phys. (Paris) 37, 1461 (1976).
35. R. Blaak (unpublished). See also J. A. C. Veerman and D. Frenkel, Phys. Rev. A 45, 5632 (1992).
36. D. Nelson and J. Toner, Phys. Rev. B 24, 363 (1981);
37. Phys. Rev. BP. J. Steinhardt, D. R. Nelson, and M. Ronchetti, 28, 784 (1983).
38. The tetratic phase is very similar to the (Formula presented) phase introduced by J. Toner, Phys. Rev. A 27, 1157 (1983), and would in fact correspond to the (Formula presented) phase.
39. F. Oosawa, J. Polym. Sci. 23, 421 (1957);
40. G. S. Manning, J. Chem. Phys. 51, 924 (1969);
41. J. Chem. Phys.G. S. Manning51, 3249 (1969);
42. G. S. Manning, Q. Rev. Biophys. 11, 179 (1978);
43. M. LeBret and B. Zimm, Biopolymers 23, 287 (1984);
44. D. Stigter, Biophys. J. 69, 380 (1995).
45. S. L. Brenner and V. A. Parsegian, Biophys. J. 14, 327 (1974).
46. Expansion in spherical harmonics of the distribution function is a standard technique, G. Luckhurst and G. Gray, The Molecular Physics of Liquid Crystals (Academic Press, London, 1978). The only difference is that we keep the nonzero m terms. By choosing preferred axes, this representation is not suitable for discussing issues involving the rotational invariance of the free energy.
47. This assumption may be questionable if end effects are important.
48. R. L. Humphries, P. G. James, and G. R. Luckhurst, J. Chem. Soc., Faraday Trans. 2 68, 1031 (1972);
49. G. R. Luckhurst and F. R. Viloria, Mol. Cryst. Liq. Cryst. Lett. 72, 201 (1982).
50. See T. Miura, H. Okumoto, and H. Ichijo, Phys. Rev. E 54, 6596 (1996), and references therein.
51. N. Gronbech-Jensen, R. Mashl, R. Bruinsma, and W. Gelbart, Phys. Rev. Lett. 78, 2477 (1997).
52. P. de Haseth, T. Lohman, and T. Record, Biochemistry 16, 4783 (1977);
53. C. F. Anderson and M. T. Record, J. Phys. Chem. 97, 7116 (1993), and references therein.
54. A very similar problem is encountered in the complexation of DNA with histones. See S. Y. Park, R. Bruinsma, and W. Gelbart, Europhys. Lett. 46, 454 (1999).
55. See, for instance, W. M. Gelbart and R. Bruinsma, Phys. Rev. E 55, 831 (1997) and references therein.
56. F. Oosawa, Polyelectrolytes (Dekker, New York, 1971).
57. M. Adama, Z. Dogic, S. Keller, and S. Fraden, Nature (London) 393, 349 (1998).
58. C. Safinya (private communication).
59. A. A. Kornyshev and S. Leikin (unpublished).
60. D. Lilley and R. Clegg, Q. Rev. Biophys. 26, 131 (1993);
61. N. Seeman and N. Kallenbach, Annu. Rev. Biophys. Biomol. Struct. 23, 53 (1994).
62. D. Durand, J. Doucet, and F. Livolant, J. Phys. II 2, 1769 (1992);
63. K. Kassapidou and J. R. C. van der Maarel, Eur. Phys. J. B 3, 471 (1998);
64. K. Merchant and R. L. Rill, Biophys. J. 73, 3154 (1997).
65. C. Safinya (private communication).