Time evolution of correlation functions for classical and quantum anharmonic oscillators

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dc.creatorBettencourt, Luis M. A.
dc.creatorWetterich, C.
dc.date1998-05-18
dc.date1998-05-29
dc.date.accessioned2026-07-07T04:03:53Z
dc.date.available2026-07-07T04:03:53Z
dc.descriptionThe 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.
dc.description4 pages, 4 figures, RevTex, revised version
dc.identifierhttps://arxiv.org/abs/hep-ph/9805360
dc.identifierhttp://arxiv.org/abs/hep-ph/9805360
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/47855
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectAstrophysics
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleTime evolution of correlation functions for classical and quantum anharmonic oscillators
dc.typetext

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