Skip to main content
Log in

Bistable and oscillating chemical reactions

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

In the last decade the number and the diversity of isothermal oscillating reactions in homogeneous aqueous solution have tremendously increased. We present an updated classified review of these chemical reactions.

Résumé

L'impossibilité d'isoler la nomenclature de la science et la science de la nomenclature tient à ce que toute science physique est nécessairement formée de trois choses: la série des faits qui constituent la science, les idées qui les rappellent, les mots qui les expriment. Le mot doit faire naître l'idée, l'idée doit peindre le fait; ce sont trois empreintes d'un même cachet; et comme ce sont les mots qui conservent les idées et qui les transmettent, il en résulte qu'on ne peut perfectionner le langage sans perfectionner la science, ni la science sans le langage, et que quelques certains que furent les faits, quelques justes que fussent les idées qu'ils auraient fait naître, ils ne transmettraient encore que des impressions fausses, si nous n'avions pas des expressions exactes pour les rendres.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Pacault, inSynergetics. Far from Equilibrium, A. Pacault and C.Vidal, eds.(1979), p. 128.

  2. P. Glansdroff and I. Prigogine,Structure, Stabilité et Fluctuation, (Masson, 1971).

  3. G. Nicolis and I. Prigogine,Self-Organization in Non-Equilibrium Systems (Wiley, New York, 1977).

    Google Scholar 

  4. A. M. Zhabotinskii and M. D. Korzukhin, inOscillating Processes in Biological and Chemical Systems, G. M. Frank, ed. (Nauka, Moscow, 1967), p. 149.

    Google Scholar 

  5. A. M. Zhabotinskii, A. N. Zaikin, M. D. Korzukhin, and G. P. Kreitzer,Kinet. Katal. 12:584 (1971).

    Google Scholar 

  6. R. J. Field, E. Körös, and R. M. Noyes,J. Am. Chem. Soc. 94:8649 (1972).

    Google Scholar 

  7. P. Lindblad and H. Degn,Acta Chem. Scand. 21:791 (1967).

    Google Scholar 

  8. I. Matsuzaki, T. Nakajima, and H. A. Liebhafsky,Faraday Symp. Chem. Soc. 1974(9):55.

    Google Scholar 

  9. K. R. Sharma and R. M. Noyes,J. Am. Chem. Soc. 97:202 (1975);98:4345 (1976).

    Google Scholar 

  10. A. Pacault, P. De Kepper and P. Hanusse, inProceeding of the 26th International Meeting of the Société de Chimie-Physique (1974) (Elsevier, 1975);C. R. Acad. Sci. 280:157 (1975); A. Pacault, P. De Kepper, P. Hanusse, and A. Rossi, C.R. Acad. Sci. 281c:215 (1975).

  11. P. De Kepper, A. Rossi, and A. Pacault,C. R. Acad. Sci. 283c:371 (1976); P. De Kepper and A. Pacault,C. R. Acad. Sci. 286c:437 (1978).

    Google Scholar 

  12. J. Villermaux,Génie de la Réaction chimique (Lavoisier, Paris, 1982).

    Google Scholar 

  13. P. De Kepper, I. R. Epstein, and K. Kustin,J. Am. Chem. Soc. 103:2133 (1981); P. De Kepper and J. Boissonade,Oscillations and Travelling Waves in Chemical Systems, R. J. Field and M. Burger, eds. (Wiley, New York, 1985), p. 223.

    Google Scholar 

  14. J. Boissonade, Thése, Bordeaux (1980).

  15. J. Boissonade and P. De Kepper,J. Phys. Chem. 84:501 (1980).

    Google Scholar 

  16. J. F. Griffiths, inOscillations and Traveling Waves in Chemical Systems, R. J. Field and M. Burger, eds. (Wiley, New York, 1985), p. 529.

    Google Scholar 

  17. C. Vidal, P. De Kepper, A. Noyau, and A. Pacault,C. R. Acad. Sci. 286c:437 (1978).

    Google Scholar 

  18. P. G. Bowers and R. M. Noyes, inOscillations and Traveling Waves in Chemical Systems, R. J. Field and M. Burger, eds. (Wiley, New York, 1985), p. 473.

    Google Scholar 

  19. W. C. Bray,J. Am. Chem. Soc. 43:1262 (1921).

    Google Scholar 

  20. H. A. Liebhafsky and G. M. Roe,Int. J. Chem. Kinet. 11:693 (1979).

    Google Scholar 

  21. B. P. Belousov, inSbornik. Referatov. po Radiatisionni Meditsine, (Medgiz, Moscow, 1958), p. 145.

    Google Scholar 

  22. C. Vidal, J. C. Roux, A. Rossi, and S. Bachelart,C. R. Acad. Sci. Paris 289c:73 (1979); J. L. Hudson, M. Hart, and D. Marinko,J. Chem. Phys. 71:1601 (1979); H. L. Swinney and J. C. Roux, inNon-Equilibrium Dynamics in Chemical Systems, C. Vidal and A. Pacault, eds. (Springer-Verlag, 1984), p. 124.

    Google Scholar 

  23. J. H. Jensen,J. Am. Chem. Soc. 105:2639 (1983).

    Google Scholar 

  24. M. Burger and R. J. Field,Nature 307:720 (1984).

    Google Scholar 

  25. M. Orbàn and I. R. Epstein,J. Am. Chem. Soc. 107:2302 (1985).

    Google Scholar 

  26. M. Orbàn,J. Am. Chem. Soc. 108:6893 (1986).

    Google Scholar 

  27. M. Orbàn and I. R. Epstein,J. Am. Chem. Soc. 109:101 (1987).

    Google Scholar 

  28. Q. Ouyang, Thesis 3éme Cycle, Bordeaux (1987); Q. Ouyang and P. De Kepper,J. Phys. Chem. (1987), in press.

  29. M. Orbàn, P. De Kepper, and R. I. Epstein,J. Am. Chem. Soc. 104:2657 (1982).

    Google Scholar 

  30. W. Geiseler,J. Phys. Chem. 86:4394 (1982).

    Google Scholar 

  31. K. Bar-Eli, inNonlinear Phenomena in Chemical Dynamics, C. Vidal and A. Pacault, eds. (Springer-Verlag, 1981), p. 228; K. Bar-Eli and W. Geiseler,J. Phys. Chem. 85:3461 (1983).

  32. A. M. Zhabotinskii,Biofizika 9:306 (1964);Dokl. Akad. Nauk SSSR 157:392 (1964).

    Google Scholar 

  33. E. Körös, M. Burger, V. Friedrich, L. Ladanyl, Z. Nagy, and M. Orbàn,Faraday Symp. Chem. Soc. 1974(9):28.

  34. M. Handlivoova and A. Tockstein,Coll. Czech. Chem. Commun. 45:2621 (1980).

    Google Scholar 

  35. N. Ganapathisubramanian, R. Ramaswamy, and J. C. Kuriacose,Proc. Indian Nat. Sci. Acad. Ser. Chem. Sci. 89:235 (1980).

    Google Scholar 

  36. P. G. Bowers, K. E. Caldwell, and D. F. Prendergast,J. Phys. Chem. 76:2185 (1972).

    Google Scholar 

  37. L. F. Salter and J. G. Sheppard,Int. J. Chem. Kinet. 14:815 (1982).

    Google Scholar 

  38. V. J. Farage, P. H. Stroot, and D. Janjic,Helv. Chim. Acta 60:237 (1977).

    Google Scholar 

  39. A. N. Zaikin and A. M. Zhabotinskii,Nature 225:535 (1970); A. T. Winfree,Sci. Am. 230:82 (1974); inOscillations and Travelling Waves in Chemical Systems, R. J. Field and M. Burger, eds. (Wiley, New York, 1985), p. 441.

    Google Scholar 

  40. Z. Noszticius and J. Boidiss,Magy. Kem. Folyoirate. 86:2 (1979); Z. Noszticius,Magy. Kem. Folyoirate. 86:330 (1979).

    Google Scholar 

  41. L. Adamcikova and P. Sevcik,Coll. Czech. Chem. Commun. 47:2333 (1982).

    Google Scholar 

  42. R. P. Rastogi, K. D. S. Yadava, and P. Rastogi,Ind. J. Chem. A 15:338 (1977).

    Google Scholar 

  43. P. Sevcik and L. Adamcikova,J. Phys. Chem. 89:5178 (1985).

    Google Scholar 

  44. Q. Ouyang, W. Y. Tarn, P. De Kepper, W. D. McCormick, Z. Noszticzius, and H. L. Swinney,J. Phys. Chem. 91:2181 (1987).

    Google Scholar 

  45. M. Alamgir, M. Orbàn, and I. R. Epstein,J. Phys. Chem. 87:3725 (1983).

    Google Scholar 

  46. L. Adamcikova and P. Sevcik,Int. Chem. Kinet. 14:735 (1982).

    Google Scholar 

  47. M. Orbàn,J. Am. Chem. Soc. 102:4311 (1980).

    Google Scholar 

  48. M. Orbàn and E. Körös,J. Phys. Chem. 82:1672 (1978).

    Google Scholar 

  49. J. Chopin-Dumas,J. Chim. Phys. 78:461 (1981); J.Chopin-Dumas and P. Richetti, inNonlinear Phenomena in Chemical Dynamics, C. Vidal and A. Pacault, eds. (Springer-Verlag, 1981), p. 213.

    Google Scholar 

  50. P. Richetti, Thesis Bordeaux (1982).

  51. M. Orbàn, E. Körös, and R. M. Noyes,J. Phys. Chem. 83:3056 (1979).

    Google Scholar 

  52. M. Alamgir, P. De Kepper, M. Orbàn, and I. R. Epstein,J. Am. Chem. Soc. 105:2641 (1983).

    Google Scholar 

  53. H. Khalifeh, Thesis Bordeaux (1985).

  54. O. Citri and I. R. Epstein,J. Am. Soc. 108:357 (1986).

    Google Scholar 

  55. M. Orbàn and I. R. Epstein,J. Phys. Chem. 87:3212 (1983).

    Google Scholar 

  56. M. Alamgir and I. R. Epstein,J. Am. Chem. Soc. 105:2500 (1983).

    Google Scholar 

  57. R. H. Simoyi,J. Phys. Chem. 91:1557 (1987).

    Google Scholar 

  58. R. H. Simoyi and I. R. Epstein,J. Phys. Chem. (1987), submitted.

  59. R. H. Simoyi and R. M. Noyes, preprint (1987).

  60. C. E. Dateo, M. Orbàn, P. De Kepper, and I. R. Epstein,J. Am. Chem. Soc. 104:504 (1982).

    Google Scholar 

  61. I. R. Epstein, and K. Kustin,J. Phys. Chem. 89:2275 (1985).

    Google Scholar 

  62. M. Orbàn, P. De Kepper, I. R. Epstein, and K. Kustin,Nature 292:816 (1981).

    Google Scholar 

  63. P. De Kepper, I. R. Epstein, K. Kustin, and M. Orbàn,J. Phys. Chem. 86:170 (1982).

    Google Scholar 

  64. M. Orbàn, C. Dateo, P. De Kepper, and I. R. Epstein,Am. Chem. Soc. 104:5911 (1982).

    Google Scholar 

  65. M. Orbàn, P. De Kepper, and I. R. Epstein,J. Phys. Chem. 86:431 (1982); M. Orbàn and I. R. Epstein,J. Phys. Chem. 86:3907 (1982).

    Google Scholar 

  66. M. Alamgir and I. R. Epstein,Int. J. Chem. Kinet. 17:429 (1985).

    Google Scholar 

  67. I. Nagypal and I. R. Epstein,J. Phys. Chem. 90:6285 (1986).

    Google Scholar 

  68. H. Degn,Acta Chem. Scand. 21:1057 (1967); H. Degn and J. Higgins,J. Phys. Chem. 72:2692 (1968).

    Google Scholar 

  69. J. H. Woodson and H. A. Liebhafsky,Nature 224:690 (1969); I. Matsuzaki, R. Simic, and H. A. Liebhafsky,Bull. Chem. Soc. Jpn. 45:3367 (1970).

    Google Scholar 

  70. J. Chopin-Dumas,C. R. Sc Acad. Sci. 287:553 (1978).

    Google Scholar 

  71. T. S. Briggs and W. C. Rauscher,J. Chem. Ed. 50:496 (1973).

    Google Scholar 

  72. P. De Kepper, Thesis Bordeaux (1978).

  73. R. M. Noyes and S. D. Furrow,J. Am. Chem. Soc. 104:45 (1982); P. De Kepper and I. R. Epstein,J. Am. Chem. Soc. 104:49 (1982).

    Google Scholar 

  74. D. O. Cooke,Int. J. Chem. Kinet. 12:683 (1980).

    Google Scholar 

  75. S. D. Furrow,Int. J. Chem. Kinet. 11:131 (1981).

    Google Scholar 

  76. E. C. Edblow, M. Orbàn, and I. R. Epstein,J. Am. Chem. Soc. 108:2826 (1986).

    Google Scholar 

  77. J. Chopin, J. Chopin-Dumas, and M. N. Papel, inNon-Equilibrium Dynamics in Chemical Systems, C. Vidal and A. Pacault, eds. (Springer-Verlag, Berlin, 1984), p. 69.

    Google Scholar 

  78. J. H. Jensen, M. G. Roelofs, and E. Wasserman, inNon-Equilibrium Dynamics in Chemical Systems, C. Vidal and A. Pacault, eds. (Springer-Verlag, 1984), p. 35; M. G. Roelofs,J. Am. Chem. Soc. 105:6229 (1983).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pacault, A., Ouyang, Q. & De Kepper, P. Bistable and oscillating chemical reactions. J Stat Phys 48, 1005–1016 (1987). https://doi.org/10.1007/BF01009529

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01009529

Key words

Navigation