Liquid crystalline fractals: Dilatation invariant growth structures in the phase ordering process of 'banana-phases'

Liquid Crystals Today

Volumn 12, Issue 1, 2003, Pages 1-10

  Dierking, Ingo ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11844281721     PISSN: 1358314X     EISSN: 14645181     Source Type: Journal    
DOI: 10.1080/14645180110000000a     Document Type: Article

References (43)

1. MANDELBROT, B., 1982. The Fractal Geometry of Nature, San Francisco:Freeman.
2. BUNDE, A., and HAVLIN, S., eds. 1994. Fractals in Science, Berlin:Springer.
3. BUNDE, A., and HAVLIN, S., eds. 1996. Fractals and Disordered Systems, Berlin:Springer.
4. VICSEK, T., 1989. Fractal Growth Phenomena, Singapore:World Scientific.
5. MEAKIN, P., 1998. Fractals, Scaling and Growth Far from Equilibrium, Cambridge:Cambridge University Press.
6. KAYE, B. H., 1994. A Random Walk Through Fractal Dimensions, 2nd edn, Weinheim:VCH.
7. RATKE, L., and VOORHEES, P. W., 2002. Growth and Coarsening, Berlin:Springer.
8. BRAY, A. J., 1994. Adv. Phys., 43:357
9. WITTEN, T. A., and SANDER, L. M., 1981. Phys. Rev. Lett., 47:1400
10. MATSUSHITA, M., SANO, M., HAYAKAWA, Y., HONJO, H., and SAWADA, Y., 1984. Phys. Rev. Lett., 53:286
11. NIEMEYER, L., PIETRONERO, L., and WIESMANN, H. J., 1984. Phys. Rev. Lett., 52:1033
12. LAM, L., FREIMUTH, R. D., and LAKKARAJU, H. S., 1991. Mol. Cryst. Liq. Cryst., 199:249
13. SHEU, C.-R., CHENG, C.-Y., WANG, P.-S., LEE, C.-Y., and PAN, R.-P., 2000. Chin. J. Phys., 38:461
14. DIERKlNG, I., 2001. J. Phys. D:Appl. Phys., 34:806
15. MEAKIN, P., 1983. Phys. Rev. Lett., 51:1119
16. WEITZ, D. A., and OLIVERIA, M., 1984. Phys. Rev. Lett., 52:1433
17. DAOUD, M., and VAN DAMME, H., April 1993 1999. Soft Matter Physics, Edited by:Daoud, M., and Williams, C. E., April 1993, Berlin:Springer. chapter 2, The authors refer to an experiment by C. Allain and M. Cloitre, published in popular form in Pour la Science
18. DIERKING, I., 2002. J. Phys. D:Appl. Phys., 35:2520
19. STAUFFER, D., and AHARONY, A., 1992. Introduction to Percolation Theory, London:Taylor & Francis.
20. SAHIMI, M., 1994. Applications of Percolation Theory, London:Taylor & Francis.
21. BAEHR, C., EBERT, M., FRICK, G., and WENDORFF, J. H., 1990. Liq. Cryst., 7:601
22. SAFFMAN, P. G., and TAYLOR, G. I., 1958. Proc. Roy. Soc., A245:312
23. BUKA, A., KERTÉSZ, J., and VICSEK, T., 1986. Nature, 323:424
24. HORVATH, V. K., KERTÉSZ, J., and VICSEK, T., 1987. Europhys. Lett., 4:1133
25. BUKA, A., PULFFY-MUHORAY, P., and RACZ, Z., 1987. Phys. Rev. A, 36:3984
26. NAKAGAWA, M., KOBAYASHI, K., HORI, M., OKABE, M., and HORI, Y., 1991. Mol. Cryst. Liq. Cryst., 195:15
27. DIERKING, I., 2001. Europhys. Lett., 55:40
28. MASSALSKA-ARODZ, M., 1994. Nukleonika, 39:77
29. MASSALSKA-ARODZ, M., 1998. Acta Phys. Pol. A, 94:41
30. LIFSHITZ, I. M., 1962. Sov. Phys. JETP, 15:939
31. ALLEN, S. M., and CAHN, J. W., 1979. Acta Metall., 27:1085
32. DIEKMANN, K., SCHUMACHER, M., and STEGEMEYER, H., 1998. Liq. Cryst., 25:349
33. DIERKING, I., 2000. J. Phys. Chem. B, 104:10642
34. DIERKING, I., 2001. Appl. Phys. A, 72:307
35. BRAY, A. J., 1993. Physica A, 193:41
36. DIERKING, I., and RUSSELL, C., 2003. Physica B, 325:281
37. THISAYUKTA, J., NAKAYAMA, Y., KAWAUCHI, S., TAKEZOE, H., and Watanabe, J., 2000. J. Am. Chem. Soc., 122:7441
38. SEKINE, T., NIORI, T., SONE, M., WATANABE, J., CHOI, S. W., TAKANISHI, Y., and TAKEZOE, H., 1997. Jpn. J. Appl. Phys., 36:6455
39. DIERKING, I., 2001. CHEMPHYSCHEM, 2:59
40. DIERKING, I., 2001. J. Phys.:Condens. Matter, 13:1353
41. DIERKING, I., 2001. Physica B, 304:51
42. DIERKING, I., SAWADE, H., and HEPPKE, G., 2001. Liq. Cryst., 28:1767
43. DIERKING, L., GHOSH, A. K., and HAASE, W., 2002. J. Phys.:Condens. Matter, 14:13441