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October 15, 1993Proceedings of the National Academy of Sciences30 citationsOpen Access

Poincaré resonances and the limits of trajectory dynamics.

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TPT. PetroskyIPIlya Prigogine

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Abstract

In previous papers we have shown that the elimination of the resonance divergences in large Poincare systems leads to complex irreducible spectral representations for the Liouville-von Neumann operator. Complex means that time symmetry is broken and irreducibility means that this representation is implementable only by statistical ensembles and not by trajectories. We consider in this paper classical potential scattering. Our theory applies to persistent scattering. Numerical simulations show quantitative agreement with our predictions.

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Cite This Study

Petrosky et al. (1993) studied this question.

synapsesocial.com/papers/6a204207f5f0ec18c545f06fhttps://doi.org/10.1073/pnas.90.20.9393
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