Deformation of a self-propelled domain in an excitable reaction-diffusion system

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 5, 2009, Pages

  Ohta, Takao ^a   Ohkuma, Takahiro ^a   Shitara, Kyohei ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CENTER OF GRAVITY; CIRCULAR MOTION; CIRCULAR SHAPE; DEFORMATION MODES; DEFORMED SHAPE; DOMAIN BOUNDARY; PROPAGATION VELOCITIES; REACTION DIFFUSION SYSTEMS; SINGULAR LIMITS; TIME EVOLUTIONS; TWO-DIMENSION;

DEFORMATION; DIFFUSION IN LIQUIDS; DYNAMIC MODELS;

EQUATIONS OF MOTION;

EID: 71049162213     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.056203     Document Type: Article

References (46)

1. Chemical Waves and Patterns, edited by, R. Kapral, and, K. Showalter, (Kluwer, Dordrecht, 1995).
2. Wave and Patterns in Biological and Chemical Excitable Media, edited by, V. Krinsky, and, H. Swinney, (North-Holland, Amsterdam, 1991).
3. L. M. Pismen, Patterns and Interfaces in Dissipative Dynamics (Springer-Verlag, Berlin, 2006).
4. K. J. Lee, W. D. McCormick, J. E. Pearson, and H. L. Swinney, Nature (London) 369, 215 (1994). 10.1038/369215a0
5. K. J. Lee and H. L. Swinney, Phys. Rev. E 51, 1899 (1995). 10.1103/PhysRevE.51.1899
6. J. E. Pearson, Science 261, 189 (1993). 10.1126/science.261.5118.189
7. W. N. Reynolds, J. E. Pearson, and S. Ponce-Dawson, Phys. Rev. Lett. 72, 2797 (1994). 10.1103/PhysRevLett.72.2797
8. W. N. Reynolds, S. Ponce-Dawson, and J. E. Pearson, Phys. Rev. E 56, 185 (1997). 10.1103/PhysRevE.56.185
9. V. Petrov, S. K. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994). 10.1098/rsta.1994.0071
10. K. Krischer and A. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994). 10.1103/PhysRevLett.73.3165
11. Y. Hayase, J. Phys. Soc. Jpn. 66, 2584 (1997). 10.1143/JPSJ.66.2584
12. Y. Hayase and T. Ohta, Phys. Rev. Lett. 81, 1726 (1998). 10.1103/PhysRevLett.81.1726
13. Y. Hayase and T. Ohta, Phys. Rev. E 62, 5998 (2000). 10.1103/PhysRevE.62. 5998
14. T. Ohta, J. Kiyose, and M. Mimura, J. Phys. Soc. Jpn. 66, 1551 (1997). 10.1143/JPSJ.66.1551
15. S.-I. Ei, M. Mimura, and M. Nagayama, Physica D 165, 176 (2002). 10.1016/S0167-2789(02)00379-2
16. C. P. Schenk, M. Or-Guil, M. Bode, and H.-G. Purwins, Phys. Rev. Lett. 78, 3781 (1997). 10.1103/PhysRevLett.78.3781
17. M. Or-Guil, M. Bode, C. P. Schenk, and H.-G. Purwins, Phys. Rev. E 57, 6432 (1998). 10.1103/PhysRevE.57.6432
18. T. Ohta, Physica D 151, 61 (2001). 10.1016/S0167-2789(00)00227-X
19. Y. Nishiura, T. Teramoto, and K. Ueda, Chaos 15, 047509 (2005). 10.1063/1.2087127
20. L. M. Pismen, Phys. Rev. Lett. 86, 548 (2001). 10.1103/PhysRevLett.86.548
21. F. Schweitzer, W. Ebeling, and B. Tilch, Phys. Rev. Lett. 80, 5044 (1998). 10.1103/PhysRevLett.80.5044
22. C. A. Condat and G. J. Sibona, Physica D 168-169, 235 (2002). 10.1016/S0167-2789(02)00512-2
23. W. Ebeling and I. M. Sokolov, Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems (World Scientific, London, 2005).
24. V. S. Zykov, Eur. Phys. J. Spec. Top. 157, 209 (2008). 10.1140/epjst/e2008-00642-x
25. T. Sakurai, K. Osaki, and T. Tsujikawa, Physica D 237, 3165 (2008). 10.1016/j.physd.2008.06.001
26. T. Ohta and T. Ohkuma, Phys. Rev. Lett. 102, 154101 (2009). 10.1103/PhysRevLett.102.154101
27. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Oxford University Press, Oxford, 1993).
28. L. G. Fel, Phys. Rev. E 52, 702 (1995). 10.1103/PhysRevE.52.702
29. H. R. Brand, H. Pleiner, and P. E. Cladis, Physica A 351, 189 (2005). 10.1016/j.physa.2004.12.027
30. Y. Sumino, N. Magome, T. Hamada, and K. Yoshikawa, Phys. Rev. Lett. 94, 068301 (2005). 10.1103/PhysRevLett.94.068301
31. K. Nagai, Y. Sumino, H. Kitahata, and K. Yoshikawa, Phys. Rev. E 71, 065301 (R) (2005). 10.1103/PhysRevE.71.065301
32. N. Shimoyama, K. Sugawara, T. Mizuguchi, Y. Hayakawa, and M. Sano, Phys. Rev. Lett. 76, 3870 (1996). 10.1103/PhysRevLett.76.3870
33. M. Nagayama, S. Nakata, Y. Doi, and Y. Hayashima, Physica D 194, 151 (2004). 10.1016/j.physd.2004.02.003
34. K. John, M. Bär, and U. Thiele, Eur. Phys. J. E 18, 183 (2005). 10.1140/epje/i2005-10039-1
35. R. Golestanian, T. B. Liverpool, and A. Ajdari, Phys. Rev. Lett. 94, 220801 (2005). 10.1103/PhysRevLett.94.220801
36. L. M. Pismen, Phys. Rev. E 74, 041605 (2006). 10.1103/PhysRevE.74.041605
37. Y.-G. Tao and R. Kapral, J. Chem. Phys. 128, 164518 (2008). 10.1063/1.2908078
38. U. Erdmann, W. Ebeling, and A. S. Mikhailov, Phys. Rev. E 71, 051904 (2005). 10.1103/PhysRevE.71.051904
39. S. van Teeffelen and H. Löwen, Phys. Rev. E 78, 020101 (R) (2008). 10.1103/PhysRevE.78.020101
40. D. Tanaka, Phys. Rev. Lett. 99, 134103 (2007). 10.1103/PhysRevLett.99. 134103
41. S. Koga and Y. Kuramoto, Prog. Theor. Phys. 63, 106 (1980). 10.1143/PTP.63.106
42. T. Ohta, M. Mimura, and R. Kobayashi, Physica D 34, 115 (1989). 10.1016/0167-2789(89)90230-3
43. B. Kerner and V. V. Osipov, Sov. Phys. Usp. 32, 101 (1989). 10.1070/PU1989v032n02ABEH002679
44. J. Rinzel and D. Terman, SIAM J. Appl. Math. 42, 1111 (1982). 10.1137/0142077
45. T. Ohkuma and T. Ohta (unpublished).
46. M. Y. Matsuo, Y. T. Maeda, and M. Sano (unpublished).