ERGODICITY AND CHAOS IN A SYSTEM OF HARMONIC OSCILLATORS-Reference-Cited by-同舟云学术

ERGODICITY AND CHAOS IN A SYSTEM OF HARMONIC OSCILLATORS

Published:2009-08-20 Issue:20n21 Volume:23 Page:3992-4000
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

LEE M. HOWARD¹²

Affiliation:

1. Department of Physics and Astronomy, University of Georgia Athens, GA 30602, United States of America

2. Korea Institute for Advanced Study, Seoul 130-012, Korea

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979209063213

Reference19 articles.

1. Ergodic theory of chaos and strange attractors

2. Ergodic Theory, Infinite Products, and Long Time Behavior in Hermitian Models

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