Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-22T21:55:38.257Z Has data issue: false hasContentIssue false
  • English
  • Français

Chaotic dynamics in a model of metal passivation

Published online by Cambridge University Press:  31 January 2011

McCoy J. Kevin ,
Punit Parmananda ,
Roger W. Rollins  and
Alan J. Markworth
McCoy J. Kevin
Affiliation:
Metals and Ceramics Department, Battelle Memorial Institute, Columbus, Ohio 43201-2693
Punit Parmananda
Affiliation:
Department of Physics and Astronomy, Condensed Matter and Surface Science Program, Ohio University, Athens, Ohio 45701-2979
Roger W. Rollins
Affiliation:
Department of Physics and Astronomy, Condensed Matter and Surface Science Program, Ohio University, Athens, Ohio 45701-2979
Alan J. Markworth
Affiliation:
Engineering Mechanics Department, Battelle Memorial Institute, Columbus, Ohio 43201-2693
Get access

Abstract

The dynamic behavior of a model for the passivation of a metal surface in contact with an aqueous solution is investigated. The model, which is characterized by a three-dimensional state space and five-dimensional parameter space, is obtained by combining elements from passivation models developed by Talbot and Oriani and by Sato. A three-dimensional subspace of parameter space has been studied; the remaining two dimensions are not thought to provide any additional interesting dynamics. The model exhibits remarkably rich dynamics, including the period-doubling, intermittency, and crisis routes to chaos, folds and bubbles in periodic portions of the attractor, and multiple attractors with complex, intertwined basins of attraction.

Type
Articles
Information
Journal of Materials Research , Volume 8 , Issue 8 , August 1993 , pp. 1858 - 1865
Copyright
Copyright © Materials Research Society 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Fontana, M. G. and Greene, N.D., Corrosion Engineering, 2nd ed. (McGraw-Hill Book Co., New York, 1978), p. 319.Google Scholar
2Centnerszwer, M., Zeit. Physikal. Chem. 26, 1 (1898).Google Scholar
3Albahadily, F. N., Ringland, J., and Schell, M., J. Chem. Phys. 90, 813 (1989); F.N. Albahadily, J. Chem. Phys. 90, 822 (1989); M. Schell, F. N. Albahadily, J. Safar, and Y. Xu, J. Phys. Chem. 93, 4806 (1989); Y. Xu and M. Schell, J. Phys. Chem. 94, 7137 (1990).CrossRefGoogle Scholar
4Bassett, M.R. and Hudson, J.L., J. Phys. Chem. 92, 6963 (1988); J. Phys. Chem. 93, 2731 (1989); N. Fetner and J.L. Hudson, J. Phys. Chem. 94, 6506 (1990).CrossRefGoogle Scholar
5Koper, M.T.M. and Sluyters, J.H., J. Electroanal. Chem. 303, 65 (1991).Google Scholar
6Krischer, K., Liibke, M., Wolf, W., Eisworth, M., and Ertl, G., Ber. Bunsenges. Phys. Chem. 95, 820 (1991).CrossRefGoogle Scholar
7Dewald, H. D., Parmananda, P., and Rollins, R. W., J. Electroanal. Chem. 306, 297 (1991).CrossRefGoogle Scholar
8Koper, M.T.M. and Gaspard, P., J. Phys. Chem. 95, 4945 (1991).CrossRefGoogle Scholar
9Talbot, J. B., Oriani, R. A., and DiCarlo, M. J., J. Electrochem. Soc. 132, 1545 (1985).CrossRefGoogle Scholar
10Markworth, A. J., McCoy, J. K., Rollins, R. W., and Parmananda, P., in Applied Chaos, edited by Stringer, J. and Kim, J. (John Wiley, New York, 1992), p. 277.Google Scholar
11Talbot, J. B. and Oriani, R.A., in Electrochemical Engineering Applications, edited by White, R. E., Savinell, R. F., and Schneider, A., AIChE Symposium Series, No. 254 (American Institute of Chemical Engineers, New York, 1987), Vol. 83, p. 64.Google Scholar
12Talbot, J. B. and Oriani, R. A., Electrochim. Acta 30, 1277 (1985).CrossRefGoogle Scholar
13Sato, N., in Passivity of Metals, edited by Frankenthal, R.P. and Kruger, J. (The Electrochemical Society, Princeton, NJ, 1978), p. 29.Google Scholar
14Rollins, R. W., CHAOTIC DYNAMICS WORKBENCH, Physics Academic Software (American Institute of Physics, New York, 1990).Google Scholar
15Wolf, A., Swift, J.B., Swinney, H.L., and Vastano, J.A., Physica D 16, 285 (1985).Google Scholar
16Grebogi, C., Ott, E., and Yorke, J.A., Physica D 7, 181 (1983).Google Scholar
17Scott, S. K., Chemical Chaos (Clarendon Press, Oxford, United Kingdom, 1991), pp. 82–83, 88.CrossRefGoogle Scholar