Direct observation of a 'devil's staircase' in wave-particle interaction
In: Chaos: An Interdisciplinary Journal of Nonlinear Science Chaos: An Interdisciplinary Journal of Nonlinear Science, 2006, 16, pp.033103. ⟨10.1063/1.2216850⟩ Chaos: An Interdisciplinary Journal of Nonlinear Science, American Institute of Physics, 2006, 16, pp.033103. ⟨10.1063/1.2216850⟩; (2006)
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Zugriff:
We report the experimental observation of a "devil's staircase'' in a time dependent system considered as a paradigm for the transition to large scale chaos in the universality class of hamiltonian systems. A test electron beam is used to observe its non-self-consistent interaction with externally excited wave(s) in a Travelling Wave Tube (TWT). A trochoidal energy analyzer records the beam energy distribution at the output of the interaction line. An arbitrary waveform generator is used to launch a prescribed spectrum of waves along the slow wave structure (a 4 m long helix) of the TWT. The resonant velocity domain associated to a single wave is observed, as well as the transition to large scale chaos when the resonant domains of two waves and their secondary resonances overlap. This transition exhibits a "devil's staircase'' behavior for increasing excitation amplitude, due to the nonlinear forcing by the second wave on the pendulum-like motion of a charged particle in one electrostatic wave.
remplacement des figures 7, 8, 9 par rapport au premier depot
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Direct observation of a 'devil's staircase' in wave-particle interaction
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Autor/in / Beteiligte Person: | Elskens, Yves ; Doveil, Fabrice ; Macor, Alessandro ; Physique des interactions ioniques et moléculaires (PIIM) ; Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS) ; Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU) |
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Quelle: | Chaos: An Interdisciplinary Journal of Nonlinear Science Chaos: An Interdisciplinary Journal of Nonlinear Science, 2006, 16, pp.033103. ⟨10.1063/1.2216850⟩ Chaos: An Interdisciplinary Journal of Nonlinear Science, American Institute of Physics, 2006, 16, pp.033103. ⟨10.1063/1.2216850⟩; (2006) |
Veröffentlichung: | HAL CCSD, 2006 |
Medientyp: | unknown |
ISSN: | 1054-1500 (print) |
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