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Classical scattering from oscillating targets. (English) Zbl 1005.70011

Summary: We study planar classical scattering from an oscillating heavy target whose dynamics defines a five-dimensional phase space. Although the system possesses no periodic orbits, and thus topological chaos is not present, the scattering functions display a variety of structures on different time scales. These structures are due to scattering events with a strong energy transfer from the projectile to the moving disk resulting in low-velocity peaks. We encounter initial conditions for which the projectile exhibits infinitely many bounces with the oscillating disk. Our numerical investigations are supported by analytical results on a specific model with a simple time-law. The observed properties possess universal character for scattering from oscillating targets.

MSC:

70F35 Collision of rigid or pseudo-rigid bodies
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[1] Ott, E., Chaos in Dynamical Systems (1993), Cambridge Univ. Press · Zbl 0792.58014
[2] Chaos, 3, 4 (1993)
[3] Dittrich, T., Quantum Transport and Dissipation (1998), Wiley-VCH · Zbl 0936.81001
[4] Jung, C.; Scholz, H. J., J. Phys. A, 21, 2301 (1988)
[5] Jung, C.; Mejia-Monasterio, C.; Seligman, T. H., Phys. Lett. A, 198, 306 (1995)
[6] Eckhardt, B., J. Phys. A, 20, 5971 (1987)
[7] Gaspard, P.; Rice, S. A., J. Chem. Phys., 90, 2225 (1989)
[8] Meyer, N., J. Phys. A, 28, 2529 (1995)
[9] Eckhardt, B.; Jung, C., J. Phys. A, 19, L829 (1986)
[10] Petit, J. M.; Hénon, M., Icarus, 66, 536 (1986)
[11] Benet, L.; Trautmann, D.; Seligman, T. H., Celest. Mech. Dyn. Astron., 71, 167 (1999)
[12] Izrailev, F. M., Phys. Rep., 196, 299 (1990)
[13] Lipp, C.; Jung, C., Chaos, 9, 706 (1999)
[14] Luna-Acosta, G. A., Chaos Solitons Fractals, 12, 349 (2001)
[15] Schlagheck, P.; Buchleitner, A., Phys. Rev. A, 63, 024701 (2001)
[16] Antillon, A.; José, J. V.; Seligman, T. H., Phys. Rev. E, 58, 1780 (1998)
[17] Papachristou, P. K., Phys. Rev. E, 64, 016205 (2001)
[18] Kovacs, Z.; Wiesenfeld, L., Phys. Rev. E, 63, 056207 (2001)
[19] Jung, C., J. Phys. A, 20, 1719 (1987)
[20] Newton, R. G., Scattering Theory of Waves and Particles (1982), Springer-Verlag: Springer-Verlag New York · Zbl 0496.47011
[21] Jung, C.; Lipp, C.; Seligman, T. H., Ann. Phys. (N.Y.), 275, 151 (1999)
[22] Dietz, B.; Lombardi, M.; Seligman, T. H., J. Phys. A, 29, L95 (1996)
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