Transition from Turing stripe patterns to hexagonal patterns induced by polarized electric fields

Journal of Chemical Physics

Volumn 127, Issue 15, 2007, Pages

  Chen, Wen Qiang ^a   Zhang, Hong ^a   Ying, He Ping ^a   Li, Bing Wei ^a   Chen, Jiang Xing ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b HANGZHOU DIANZI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVE POLARIZATION; PATTERN RECOGNITION; PHASE TRANSITIONS;

POLARIZED ELECTRIC FIELDS; TURING STRIPE PATTERNS;

ELECTRIC FIELD EFFECTS;

EID: 39349114011     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2794337     Document Type: Article

References (30)

1. A. M. Turing, Philos. Trans. R. Soc. London, Ser. B PTRBAE 0962-8436 10.1098/rstb.1952.0012 327, 37 (1952).
2. H. Meinhardt, Models of Biological Patterns Formation (Academic, New York, 1982).
3. A. J. Koch and H. Meinhardt, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.1481 66, 1481 (1994).
4. J. D. Murray, Mathematical Biology (Springer, Berlin, 1993).
5. V. Castets, E. Dulos, J. Boissonade, and P. De Kepper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.2953 64, 2953 (1990).
6. Q. Ouyang and H. L. Swinney, Nature (London) NATUAS 0028-0836 10.1038/352610a0 352, 610 (1991).
7. B. Rudovics, E. Barrilot, P. Davies, E. Dulos, J. Boissonade, and P. De Kepper, J. Phys. Chem. JPCHAX 0022-3654 10.1021/jp983210v 103, 1790 (1999).
8. O. Steinbock, V. Zykov, and S. C. Müller, Nature (London) NATUAS 0028-0836 10.1038/366322a0 366, 322 (1993).
9. V. Petrov, Q. Ouyang, and H. L. Swinney, Nature (London) NATUAS 0028-0836 10.1038/41732 388, 655 (1997).
10. M. Kim, M. Bertram, M. Pollmann, A. von Oertzen, A. S. Mikhailov, H. H. Rotermund, and G. Ertl, Science SCIEAS 0036-8075 10.1126/science.1059478 292, 1357 (2001).
11. S. Alonso, F. Sagues, and A. S. Mikhailov, Science SCIEAS 0036-8075 10.1126/science.1080207 299, 1722 (2003).
12. H. Zhang, Z. Cao, N. J. Wu, H. P. Ying, and G. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.188301 94, 188301 (2005); N. J. Wu, H. Zhang, H. P. Ying, Z. Cao, and G. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.060901 73, 060901 (R) (2006).
13. A. K. Horvath, M. Dolnik, A. P. Munuzuri, A. M. Zhabotinsky, and I. R. Epstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.2950 83, 2950 (1999).
14. M. Dolnik, I. Berenstein, A. M. Zhabotinsky, and I. R. Epstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.238301 87, 238301 (2001).
15. I. Berenstein, L. Yang, M. Dolnik, A. M. Zhabotinsky, and I. R. Epstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.058302 91, 058302 (2003).
16. S. Rudiger, D. G. Miguez, A. P. Munuzuri, F. Sagues, and J. Casademunt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.128301 90, 128301 (2003).
17. D. G. Miguez, E. M. Nicola, A. P. Munuzuri, J. Casademunt, F. Sagues, and L. Kramer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.048303 93, 048303 (2004).
18. D. G. Miuez, M. Dolnik, A. P. Munuzuri, and L. Kramer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.048304 96, 048304 (2006).
19. O. Steinbock, J. Schütze, and S. C. Müller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.248 68, 248 (1992).
20. H. Sevćikova, M. Marek, and S. C. Müller, Science SCIEAS 0036-8075 10.1126/science.257.5072.951 257, 951 (1992).
21. S. Schmidt and P. Ortoleva, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.441637 74, 4488 (1981).
22. B. Schmidt, P. De Kepper, and S. C. Müller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.118302 90, 118302 (2003); B. Schmidt, Ph.D. thesis, Otto-von-Guericke Universität Magdeburg, 2005.
23. S. S. Riaz, S. Kar, and D. S. Ray, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1783275 121, 5395 (2004).
24. S. P. Dawson, A. Lawniczak, and R. Kapral, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.467185 100, 5211 (1994).
25. S. P. Kuznetsov, E. Mosekilde, G. Dewel, and P. Borckmans, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.473763 106, 7609 (1997).
26. R. A. Satnoianu, P. K. Maini, and M. Menzinger, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(01)00345-1 160, 79 (2001).
27. J. X. Chen, H. Zhang, and Y. Q. Li, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2145754 124, 014505 (2006).
28. I. Lengyel and I. R. Epstein, Science SCIEAS 0036-8075 10.1126/science.251.4994.650 251, 650 (1991).
29. I. Lengyel and I. R. Epstein, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.89.9.3977 89, 3977 (1992).
30. J. Jorne, J. Theor. Biol. JTBIAP 0022-5193 10.1016/S0022-5193(74)80067-6 43, 375 (1974).