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- Title
ERGODICITY AND CHAOS IN A SYSTEM OF HARMONIC OSCILLATORS.
- Authors
LEE, M. HOWARD
- Abstract
In recent years the term ergodicity has come into scientific vogue in various physical problems. In particular when a system exibits chaotic behavior, it is often said to be ergodic. Is it a correct usage of the term ergodicity? Does it not mean that the time and ensemble averages of a variable are equal? Are they really related one to one? We examine this issue via simple models of harmonic oscilators by means of the theorems of Birkhoff and Khinchin and also by our own physical theory of ergometry. This study also considers the chaotic behavior in the logistic map.
- Subjects
HARMONIC oscillators; CHAOS theory; ERGOMETRY; HUMAN mechanics; WORK (Mechanics)
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2009, Vol 23, Issue 20/21, p3992
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979209063213