Mechanical phase diagram of shrinking cylindrical gels

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

Volumn 68, Issue 2, 2003, Pages 6-

  Boudaoud, Arezki ^a   Chaïeb, Sahraoui ^b,c  

^a LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

^b University of Illinois at Urbana Champaign   (United States)

^c UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85035232519     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.68.021801     Document Type: Article

References (45)

1. T. Tanaka, Nature (London) 325, 796 (1987).
2. R.S. Langer and J.P. Vacanti, Science 260, 920 (1993);
3. R.S. Langer and J.P. Vacanti, Sci. Am. 280, 86 (1999).
4. Y. Takeoka, Phys. Rev. Lett. 82, 4863 (1999).
5. M. Annaka, M. Tokita, T. Tanaka, S. Tanaka, and T. Nakahira, J. Chem. Phys. 112, 471 (2000).
6. T. Enoki, Phys. Rev. Lett. 85, 5000 (2000).
7. T. Tanaka, Phys. Rev. A 17, 763 (1978).
8. T. Tanaka, Phys. Rev. Lett. 45, 1636 (1980).
9. T. Tanaka, I. Nishio, S.-T. Sun, and S. Ueno-Nishio, Science 218, 467 (1982).
10. S. Juodkazis, Nature (London) 408, 178 (2000).
11. Z. Hu, X. Zhang, and Y. Li, Science 269, 525 (1995).
12. D.J. Beebe, Proc. Natl. Acad. Sci. U.S.A. 97, 13488 (2000);
13. D.J. Beebe, Nature (London) 404, 588 (2000).
14. T. Tanaka, Physica A 140, 261 (1986).
15. E.S. Matsuo and T. Tanaka, J. Chem. Phys. 89, 1695 (1988).
16. E.S. Matsuo and T. Tanaka, Nature (London) 358, 482 (1992).
17. H. Tanaka, H. Tomita, A. Takasu, T. Hayashi, and T. Nishi, Phys. Rev. Lett. 68, 2794 (1992).
18. H. Tanaka and T. Sigehuzi, Phys. Rev. E 49, R39 (1994).
19. Y. Li, C. Li, and Z. Hu, J. Chem. Phys. 100, 4637 (1994).
20. S. Sasaki and H. Maeda, J. Colloid Interface Sci. 211, 204 (1999).
21. G. Bai and A. Suzuki, J. Chem. Phys. 111, 10338 (1999).
22. M. Tokita, K. Miyamoto, and T. Komai, J. Chem. Phys. 113, 1647 (2000).
23. T. Hwa and M. Kardar, Phys. Rev. Lett. 61, 106 (1988).
24. K. Sekimoto and K. Kawasaki, J. Phys. Soc. Jpn. 57, 2594 (1988).
25. N. Suematsu, K. Sekimoto, and K. Kawasaki, Phys. Rev. A 41, 5751 (1990).
26. K. Sekimoto and K. Kawasaki, J. Phys. Soc. Jpn. 56, 2997 (1987).
27. A. Onuki, J. Phys. Soc. Jpn. 57, 703 (1988).
28. K. Sekimoto and K. Kawasaki, Physica A 154, 384 (1989).
29. A. Onuki, Phys. Rev. A 39, 5932 (1989).
30. S. Panyukov and Y. Rabin, Macromolecules 29, 8530 (1996).
31. B. Barrière, K. Sekimoto, and L. Liebler, J. Chem. Phys. 105, 1735 (1996).
32. J.I. Maskawa, T. Takeuchi, K. Maki, K. Tsuji, and T. Tanaka, J. Chem. Phys. 110, 10993 (1999). The no stress boundary conditions used here assume isotropy of the gel, which is not true when it is elongated.
33. T.W. D’Arcy, On Growth and Form (Dover, New York, 1992).
34. R. Bar-Ziv and E. Moses, Phys. Rev. Lett. 73, 1392 (1994).
35. S. Chaïeb and S. Rica, Phys. Rev. E 58, 7733 (1998).
36. P.-G. de Gennes, C. R. Acad. Sci., Ser. IIb: Mec., Phys., Chim., Astron. 324, 343 (1997).
37. P.J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, NY, 1953).
38. A. Onuki, J. Phys. Soc. Jpn. 57, 699 (1988).
39. P.-G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1980).
40. This not strictly speaking, an equation of motion but rather a Largangian formulation based on the free energy in Eq. (1).
41. M. Tokita and T. Tanaka, J. Chem. Phys. 95, 4613 (1991).
42. S. Hirotsu, Y. Hirokawa, and T. Tanaka, J. Chem. Phys. 87, 1392 (1987).
43. S. Chaïeb and A. Boudaoud (unpublished).
44. E. Cerda, S. Chaïeb, F. Melo, and L. Mahadevan, Nature (London) 401, 46 (1999).
45. A. Boudaoud, P. Patrício, Y. Couder, and M. Ben Amar, Nature (London) 407, 718 (2000).