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V—The Brownian Movement of a One-Dimensional Non-Harmonic Oscillator
Published online by Cambridge University Press: 14 February 2012
Synopsis
The Langevin equation for the harmonic oscillator is solved by a different method from that normally used. The approximate solution for the case of the slightly anharmonic oscillator is then obtained by an iterative procedure and the results are illustrated by a numerical example based on a simple model of a crystalline solid.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 68 , Issue 1 , 1968 , pp. 70 - 82
- Copyright
- Copyright © Royal Society of Edinburgh 1968
References
References to Literature
MacDonald, D. K. C., 1963. Introductory Statistical Mechanics for Physicists, 123. New York and London: Wiley.Google Scholar