Disclination loop behavior near the nematic-isotropic transition

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

Volumn 64, Issue 3, 2001, Pages 7-

  Priezjev, N V ^a   Pelcovits, Robert A ^a  

^a BROWN UNIVERSITY   (United States)

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EID: 85035269296     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.64.031710     Document Type: Article

References (56)

1. J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
2. J. M. Kosterlitz, J. Phys. C 7, 1046 (1974).
3. D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2457 (1979).
4. A. P. Young, Phys. Rev. B 19, 1855 (1979).
5. J. Villain, J. Phys. (Paris) 36, 581 (1975).
6. R. Savit, Phys. Rev. B 17, 1340 (1978).
7. L. Onsager, Nuovo Cimento, Suppl. 6, 249 (1949).
8. R. P. Feynman, in Progress in Low Temperature Physics, edited by C. J. Gorter (North-Holland, Amsterdam, 1955), Vol. 1, p. 17.
9. B. Chattopadhyay, M. C. Mahato, and S. R. Shenoy, Phys. Rev. B 47, 15 159 (1993).
10. G. A. Williams, Phys. Rev. Lett. 82, 1201 (1999).
11. G. Kohring, R. E. Shrock, and P. Wills, Phys. Rev. Lett. 57, 1358 (1986).
12. A. K. Nguyen and A. Sudbø, Phys. Rev. B 57, 3123 (1998).
13. Phys. Rev. BA. K. NguyenA. Sudbø60, 15 307 (1999).
14. M. H. Lau and C. Dasgupta, Phys. Rev. B 39, 7212 (1989).
15. C. Holm and W. Janke, J. Phys. A 27, 2553 (1994).
16. P. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1993).
17. see G. E. Volovik and V. P. Mineev, Zh. Éksp. Teor. Fiz. 72, 2256 (1977) [Sov. Phys. JETP 45, 1186 (1978)].
18. N. D. Mermin, Rev. Mod. Phys. 51, 591 (1979).
19. R. B. Meyer, Philos. Mag. 27, 405 (1973).
20. A. T. Garel, J. Phys. (Paris) 39, 225 (1978).
21. V. P. Mineev, Sov. Sci. Rev., Sect. A 2, 173 (1980).
22. H. Nakanishi, K. Hayashi, and H. Mori, Commun. Math. Phys. 117, 203 (1988).
23. H. Mori and H. Nakanishi, J. Phys. Soc. Jpn. 57, 1281 (1988).
24. P. E. Lammert, D. S. Rokhsar, and J. Toner, Phys. Rev. Lett. 70, 1650 (1993).
25. P. E. LammertD. S. RokhsarJ. TonerPhys. Rev. E 52, 1778 (1995).
26. Phys. Rev. EJ. Toner, P. E. Lammert, and D. S. Rokhsar, 52, 1801 (1995).
27. P. A. Lebwohl and G. Lasher, Phys. Rev. A 47, 4780 (1972).
28. G. R. Luckhurst and P. Simpson, Mol. Phys. 47, 251 (1982).
29. U. Fabbri and C. Zannoni, Mol. Phys. 4, 763 (1986).
30. C. Zannoni, J. Chem. Phys. 84, 424 (1986).
31. G. Kohring and R. E. Shrock, Nucl. Phys. B 285, 504 (1987).
32. F. Biscarini, C. Zannoni, C. Chiccoli, and P. Pasini, Mol. Phys. 73, 439 (1991).
33. Z. Zhang, O. G. Mouritsen, and M. J. Zuckermann, Phys. Rev. Lett. 69, 2803 (1992).
34. Z. Zhang, M. J. Zuckermann, and O. G. Mouritsen, Mol. Phys. 80, 1195 (1993).
35. S. Boschi, M. P. Brunelli, C. Zannoni, C. Chiccoli, and P. Pasini, Int. J. Mod. Phys. C 8, 547 (1997).
36. H. Kunz and G. Zumbach, Phys. Lett. B 257, 299 (1991).
37. H. KunzG. ZumbachPhys. Rev. B 46, 662 (1992).
38. See also, S. Caracciolo, R. G. Edwards, A. Pelissetto, and A. D. Sokal, Nucl. Phys. B 403, 475 (1993).
39. U. Wolff, Phys. Rev. Lett. 62, 361 (1989).
40. N. V. Priezjev and R. A. Pelcovits, Phys. Rev. E 63, 062702 (2001).
41. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988).
42. M. Zapotocky, P. M. Goldbart, and N. Goldenfeld, Phys. Rev. E 51, 1216 (1995).
43. N. D. Antunes and L. M. A. Bettencourt, Phys. Rev. Lett. 81, 3083 (1998).
44. D. Austin, E. J. Copeland, and R. J. Rivers, Phys. Rev. D 49, 4089 (1994).
45. C. Zannoni, Mol. Cryst. Liq. Cryst. 49, 247 (1979).
46. C. Chiccoli, P. Pasini, P. Biscarini, and C. Zannoni, Mol. Phys. 65, 1505 (1988).
47. C. Chiccoli, P. Pasini, and C. Zannoni, Int. J. Mod. Phys. B 11, 1937 (1997).
48. B. Berg and M. Lüscher, Nucl. Phys. B 190, 412 (1981).
49. T. Vachaspati, Phys. Rev. D 44, 3723 (1991).
50. S. Rudaz and A. M. Srivastava, Mod. Phys. Lett. A 8, 1443 (1993).
51. M. Hindmarsh, A.-C. Davis, and R. Brandenberger, Phys. Rev. D 49, 1944 (1994).
52. M. Hindmarsh, Phys. Rev. Lett. 75, 2502 (1995).
53. A. H. Windle, H. E. Assender, and M. S. Lavine, Proc. R. Soc. London, Ser. A 348, 73 (1994).
54. E. M. Terentjev, Phys. Rev. E 51, 1330 (1995).
55. M. Zapotocky and T. C. Lubensky (unpublished).
56. J. Hobdell and A. Windle, Liq. Cryst. 23, 157 (1997).