Time evolution of correlation functions for classical and quantum anharmonic oscillators

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The time evolution of the correlation functions of an ensemble of anharmonic N-component oscillators with O(N) symmetry is described by a flow equation, exact up to corrections of order $1/N^2$. We find effective irreversibility. Nevertheless, analytical and numerical investigation reveals that the system does not reach thermal equilibrium for large times, even when $N\to \infty$. Depending on the initial distribution, the dynamics is asymptotically stable or it exhibits growing modes which break the conditions for the validity of the 1/N expansion for large time. We investigate both classical and quantum systems, the latter being the limit of an O(N) symmetric scalar quantum field theory in zero spatial dimensions.
4 pages, 4 figures, RevTex, revised version

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High Energy Physics - Phenomenology, Astrophysics, Condensed Matter, High Energy Physics - Theory, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/47855

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-ph/9805360
 http://arxiv.org/abs/hep-ph/9805360

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arXiv