POINCARE RESONANCES AND THE LIMITS OF TRAJECTORY DYNAMICS

Authors
PETROSKY T PRIGOGINE I
Citation
T. Petrosky et I. Prigogine, POINCARE RESONANCES AND THE LIMITS OF TRAJECTORY DYNAMICS, Proceedings of the National Academy of Sciences of the United Statesof America, 90(20), 1993, pp. 9393-9397
Citations number
26
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Proceedings of the National Academy of Sciences of the United Statesof America → ACNP
ISSN journal
00278424
Volume
90
Issue
20
Year of publication
1993
Pages
9393 - 9397
Database
ISI
SICI code
0027-8424(1993)90:20<9393:PRATLO>2.0.ZU;2-F
Abstract
In previous papers we have shown that the elimination of the resonance divergences in large Poincare systems leads to complex irreducible sp ectral 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 scatte ring. Our theory applies to persistent scattering. Numerical simulatio ns show quantitative agreement with our predictions.