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DOI: 10.1039/A807837H (Paper) Reference Section for: Phys. Chem. Chem. Phys., 1999, 1, 91-97

Travelling waves in the iodate–arsenous acid system

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J H. Merkin and H Ševčíková

Abstract

The equations describing travelling waves in the iodate–arsenous acid reaction are discussed, with kinetics based on the Dushman–Roebuck scheme. These equations are used to show how the structure of the wave (its propagation speed and final reaction products) depends on the stoichiometry factor S0, the initial concentration of arsenous acid relative to iodate. Different forms are seen in the ranges 0<S0<5/2, 5/2<S0<3 and S0>3. An asymptotic analysis, based on a large parameter arising in the system, is undertaken. This shows that wave structures and propagation speeds are different in these three ranges of S0.

References

  1. R. A. Fisher, Ann. Eugenics, 1937, 7, 355 Search PubMed.
  2. A. N. Kolmogorov, I. G. Petrovskii and N. S. Piscounov, Bull. Moskovskovo Gos. Univ., 1937, 17, 1 Search PubMed.
  3. D. J. Needham and J. H. Merkin, Nonlinearity, 1992, 5, 413 CrossRef.
  4. M. A. Sadiq and J. H. Merkin, I.M.A. J. Appl. Math., 1996, 57, 273 Search PubMed.
  5. J. Billingham and D. J. Needham, Phil. Trans. R. Soc. London, Series A, 1991, 334, 1 Search PubMed.
  6. A. Hanna, A. Saul and K. Showalter, J. Am. Chem. Soc., 1982, 104, 3838 CrossRef CAS.
  7. A. Saul and K. Showalter, in Oscillations and Traveling Waves in Chemical Systems, ed. R. J. Field and M. Burger, Wiley-Interscience, New York, 1985 Search PubMed.
  8. K. Showalter, in Kinetics of Nonhomogeneous Processes, ed. G. R. Freeman, Wiley, New York, 1987 Search PubMed.
  9. D. Horvath and K. Showalter, J. Chem. Phys., 1995, 102, 2471 CrossRef CAS.
  10. J. Billingham and D. J. Needham, Dynam Stabil. Systems, 1991, 6, 33 Search PubMed.
  11. J. Harrison and K. Showalter, J. Phys. Chem., 1986, 90, 225 CrossRef CAS.
  12. H. Sevcikova and M. Marek, Physica D, 1984, 13, 379 CrossRef.
  13. H. Jeffreys and B. S. Jeffreys, Methods of Mathematical Physics, Cambridge University Press, Cambridge, 1962 Search PubMed.
  14. L. Forstova, H. Sevcikova, M. Marek and J. H. Merkin, Chem. Eng. Sci., submitted for publication Search PubMed.
  15. L. Forstova, M.Sc. Dissertation (in Czech), VSCHT, Prague, 1998.
  16. S. K. Scott and K. Showalter, J. Phys. Chem., 1992, 96, 8702 CrossRef CAS.
  17. D. Horvath, V. Petrov, S. K. Scott and K. Showalter, J. Chem. Phys., 1993, 98, 6332 CrossRef CAS.
  18. I. Lengyel and I. R. Epstein, Science, 1991, 251, 650 CAS.
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