Vibration of a Chain with Nonlinear Interaction
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概要
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Vibration of a chain of particles interacting by nonlinear force is investigated. Using a transformation exact solutions to the equation of motion are aimed at. For a special type of interaction potential of the form φ(r) = a/be^<-br> + ar + const., (a, b > 0) exact solutions are actually obtained in terms of the Jacobian elliptic functions. It is shown that the system has N "normal modes". Expansion due to vibration or "thermal expansion" of the chain is also discussed.
- 社団法人日本物理学会の論文
- 1967-02-05
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- Preface
- Preface
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