Poincaré resonances and the limits of trajectory dynamics.
- 15 October 1993
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 90 (20) , 9393-9397
- https://doi.org/10.1073/pnas.90.20.9393
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.Keywords
This publication has 2 references indexed in Scilit:
- Unitarity and irreversibility in chaotic systemsPhysical Review A, 1992
- Kinetic theory and ergodic propertiesProceedings of the National Academy of Sciences, 1976