Nonlinear oscillations of a triatomic molecule
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Authors
Wilson, Sean Odell
Subjects
Advisors
Denardo, Bruce
Date of Issue
2002-06
Date
Publisher
Monterey California. Naval Postgraduate School
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Abstract
ude decreases if the difference of the frequency of the two modes is reduced. We consider the simplest case of a symmetric rectilinear molecule where the coupling has a cubic nonlinearity in addition to a linear restoring force. Approximate analytical results are in good agreement with numerical simulations of the exact equations of motion, although in some cases the actual behavior fundamentally deviates from the perturbative theory. Two physical demonstrations of the instability are described, where the apparatus are a system of gliders coupled by springs and magnets on an air track. Possible quantum mechanical implications are discussed. This work is a fundamental generalization of the parametric instability of two linearly coupled nonlinear oscillators that was reported in a previous investigation.
Type
Thesis
Description
Series/Report No
Department
Physics
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NPS Report Number
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Funder
Format
xiv, 57 p. : ill. (some col.) ;
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.