Propagating fronts in chemical systems with coexisting multiple stationary states

Journal of Chemical Physics

Volumn 107, Issue 19, 1997, Pages 7894-7905

  Vives, D ^a   Careta, A ^a   Sagues F ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040984773     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.475102     Document Type: Article

References (35)

1. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
2. P. Ortoleva and J. Ross, J. Chem. Phys. 63, 3398 (1975).
3. See, for example, Oscillations and Traveling Waves in Chemical Systems, edited by R. J. Field and M. Burger (Wiley, New York, 1985).
4. J. D. Murray, Mathematical Biology (Springer-Verlag, Berlin, 1989).
5. I. Epstein and K. Showalter, J. Phys. Chem. 31, 13132 (1996).
6. P. Fife, J. Chem. Phys. 64, 554 (1976).
7. R. A. Fisher, Ann. Eugenics 7, 355 (1937).
8. A. Kolmogorov, I. Petrovsky, and N. Piskunov, Bull. Univ. Moscow, Int. Ser. A, 1, 1 (1937), translated in P. Pelcé, Dynamics of Curved Fronts (Academic, San Diego, 1988).
9. A. Kolmogorov, I. Petrovsky, and N. Piskunov, Bull. Univ. Moscow, Int. Ser. A, 1, 1 (1937), translated in P. Pelcé, Dynamics of Curved Fronts (Academic, San Diego, 1988).
10. J. H. Merkin, D. J. Needham, and S. K. Scott, Proc. R. Soc. London A 424, 187 (1989).
11. P. Gray, J. H. Merkin, D. J. Needham, and S. K. Scott, Proc. R. Soc. London Ser. A 430, 509 (1990).
12. J. Billingham and D. J. Needham, Philos. Trans. R. Soc. London Ser. A 334, 1 (1991); 336, 497 (1991).
13. J. Billingham and D. J. Needham, Philos. Trans. R. Soc. London Ser. A 334, 1 (1991); 336, 497 (1991).
14. S. K. Scott and K. Showalter, J. Phys. Chem. 96, 8702 (1992).
15. D. Horvath, V. Petrov, S. K. Scott, and K. Showalter, J. Chem. Phys. 98, 6332 (1993).
16. E. E. Sel'kov, Eur. J. Biochem. 4, 79 (1968).
17. P. H. Richter, P. Rehmus, and J. Ross, Prog. Theor. Phys. 66, 385 (1981).
18. P. Gray, S. K. Scott, Chem. Eng. Sci. 39, 1087 (1984).
19. M. A. Sadiq and J. H. Merkin, J. Math. Chem. 20, 213 (1996).
20. J. E. Pearson, Science 261, 189 (1993).
21. V. Petrov, S. K. Scott, K. Showalter, Philos. Trans. R. Soc. London Ser. A 347, 631 (1994).
22. J. H. Merkin, V. Petrov, S. K. Scott, K. Showalter, Phys. Rev. Lett. 76, 546 (1996); Trans. Faraday Soc. 96, 2911 (1996).
23. J. H. Merkin, V. Petrov, S. K. Scott, K. Showalter, Phys. Rev. Lett. 76, 546 (1996); Trans. Faraday Soc. 96, 2911 (1996).
24. J. Weiss, M. Tabor, and G. Carnevale, J. Math. Phys. 24, 522 (1983).
25. F. Cariello and M. Tabor, Physica D 39 (1989); J. A. Powell and M. Tabor, J. Phys. A. Gen. Phys. 25, 3773 (1992).
26. F. Cariello and M. Tabor, Physica D 39 (1989); J. A. Powell and M. Tabor, J. Phys. A. Gen. Phys. 25, 3773 (1992).
27. A. Goriely, Phys. Rev. Lett. 75, 2047 (1995).
28. X. Feng, Phys. Lett. A 213, 167 (1996).
29. X. Chu, J. Ross, P. M. Hunt, and K. L. C. Hunt, J. Chem. Phys. 99, 3444 (1993).
30. N. F. Hansen and J. Ross, J. Phys. Chem. 100, 8040 (1996).
31. W. van Saarloos, Phys. Rev. A 39, 6367 (1989).
32. M. Otwinowski, P. Paul, and W. G. Laidlaw, Phys. Lett. A 128, 483 (1988); X. Y. Wang, ibid. 131, 277 (1988).
33. M. Otwinowski, P. Paul, and W. G. Laidlaw, Phys. Lett. A 128, 483 (1988); X. Y. Wang, ibid. 131, 277 (1988).
34. W. van Saarloos, Phys. Rev. Lett. 58, 271 (1987); Phys. Rev. A, 37, 211 (1988).
35. W. van Saarloos, Phys. Rev. Lett. 58, 271 (1987); Phys. Rev. A, 37, 211 (1988).