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2003 | 104 | 5 | 399-407
Article title

Harmonically Trapped Classical Gas under Critical Rotation

Content
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EN
Abstracts
EN
We study one- and two-dimensional systems of two interacting particles in a time dependent harmonic potential. In a case of one-dimensional geometry a frequency of the potential varies periodically, while in the two-dimen- sional~case the harmonic potential rotates with a constant angular velocity. We show that depending on the driving frequency the distance between the particles can either explode or stay bound. Repulsive interaction can prevent the explosion, which seems quite counter-intuitive. Our work is related to Ecole Normale Supérieure experiment and shows that the effect found there is purely classical.
Keywords
EN
Publisher

Year
Volume
104
Issue
5
Pages
399-407
Physical description
Dates
published
2003-11
received
2003-04-28
revised
2003-08-11
Contributors
  • Institute of Experimental Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland
author
  • Institute of Experimental Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland
  • Institute of Experimental Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland
author
  • Cardinal Wyszyński University, al. Lotników 32/46, 02-668 Warszawa, Poland
author
  • Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland
  • Cardinal Wyszyński University, al. Lotników 32/46, 02-668 Warszawa, Poland
  • Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland
References
  • 1. N.M. McLachlan, Theory and application of Mathieu functions, Clarendon Press, Oxford 1947
  • 2. N.N. Bogoliubov, Y.A. Mitropolsky, Asymptotic Methods in the Theory of Non-linear Oscillations, Gordon and Breach Science Publishers, New York 1961
  • 3. C. Hayashi, Nonlinear Oscillations in Physical Systems, Princeton University Press, Princeton 1985
  • 4. V.V. Bolotin, The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco 1964
  • 5. L. Salasnich, Laser Physics, 13, 547, 2003
  • 6. Yu. Kagan, L.A. Maksimov, e-print cond-mat/0212377
  • 7. P. Rosenbuch, D.S. Petrov, S. Sinha, F. Chevy, V. Bretin, G. Schlyapnikow, J. Dalibard, Phys. Rev. Lett., 88, 250403, 2002
  • 8. J.G. Leopold, I.C. Percival, Phys. Rev. Lett., 41, 944, 1978
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv104n504kz
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