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Chaotic dynamics in a model of metal passivation

Published online by Cambridge University Press:  31 January 2011

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
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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
Copyright
Copyright © Materials Research Society 1993

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References

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