ERGODICITY AND CHAOS IN A SYSTEM OF HARMONIC OSCILLATORS

Autor:	M. Howard Lee
Rok vydání:	2009
Předmět:	Mathematics::Dynamical Systems Ergodicity Chaotic Statistical and Nonlinear Physics Harmonic (mathematics) Condensed Matter Physics Term (time) Ergodic theory Statistical physics Quantum ergodicity Logistic map Birkhoff's theorem Variable (mathematics) Mathematics
Zdroj:	International Journal of Modern Physics B. 23:3992-4000
ISSN:	1793-6578 0217-9792
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e909847a8a2c80d8c0ef91edb0b2540d https://doi.org/10.1142/s0217979209063213 Zobrazit plný text záznamu