Poincare resonances and the limits of trajectory dynamics

Journal Article · Fri Oct 15 00:00:00 EDT 1993 · Proceedings of the National Academy of Sciences of the United States of America; (United States)

DOI:https://doi.org/10.1073/pnas.90.20.9393· OSTI ID:5142169

Petrosky, T ^[1]; Prigogine, I ^[2]

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1. Univ. of Texas, Austin, TX (United States)
2. International Solvay Institute, Brussels (Belgium)

In previous papers the authors 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. The authors consider in this paper classical potential scattering. The theory applies to persistent scattering. Numerical simulations show quantitative agreement with the predictions. 26 refs., 3 figs.

• DOE Contract Number: FG05-88ER13897
• OSTI ID: 5142169
• Journal Information: Proceedings of the National Academy of Sciences of the United States of America; (United States), Journal Name: Proceedings of the National Academy of Sciences of the United States of America; (United States) Vol. 90:20; ISSN PNASA6; ISSN 0027-8424
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
DYNAMICS
ELASTIC SCATTERING
LIE GROUPS
MATHEMATICS
MECHANICS
NUMERICAL ANALYSIS
POINCARE GROUPS
POTENTIAL SCATTERING
SCATTERING
SYMMETRY BREAKING
SYMMETRY GROUPS
TIME MEASUREMENT
TRAJECTORIES