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Title: Electron Climbing a 'Devil's Staircase' in Wave-Particle Interaction

Abstract

Numerous nonlinear driven systems display spectacular responses to forcing, including chaos and complex phase-locking plateaus characterized by 'devil's staircase', Arnold tongues, and Farey trees. In the universality class of Hamiltonian systems, a paradigm is the motion of a charged particle in two waves, which inspired a renormalization group method for its description. Here we report the observation of the underlying 'devil's staircase' by recording the beam velocity distribution function at the outlet of a traveling wave tube versus the amplitude of two externally induced waves.

Authors:
; ;  [1]
  1. Physique des interactions ioniques et moleculaires, Unite 6633 CNRS-Universite de Provence, Equipe turbulence plasma, case 321, Centre de Saint-Jerome, F-13397 Marseille cedex 20 (France)
Publication Date:
OSTI Identifier:
20771640
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 95; Journal Issue: 26; Other Information: DOI: 10.1103/PhysRevLett.95.264102; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; AMPLITUDES; CHAOS THEORY; CHARGED PARTICLES; DISTRIBUTION FUNCTIONS; ELECTRONS; HAMILTONIANS; NONLINEAR PROBLEMS; PARTICLE INTERACTIONS; RENORMALIZATION; TRAVELLING WAVE TUBES; VELOCITY

Citation Formats

Macor, Alessandro, Doveil, Fabrice, and Elskens, Yves. Electron Climbing a 'Devil's Staircase' in Wave-Particle Interaction. United States: N. p., 2005. Web. doi:10.1103/PhysRevLett.95.264102.
Macor, Alessandro, Doveil, Fabrice, & Elskens, Yves. Electron Climbing a 'Devil's Staircase' in Wave-Particle Interaction. United States. doi:10.1103/PhysRevLett.95.264102.
Macor, Alessandro, Doveil, Fabrice, and Elskens, Yves. Sat . "Electron Climbing a 'Devil's Staircase' in Wave-Particle Interaction". United States. doi:10.1103/PhysRevLett.95.264102.
@article{osti_20771640,
title = {Electron Climbing a 'Devil's Staircase' in Wave-Particle Interaction},
author = {Macor, Alessandro and Doveil, Fabrice and Elskens, Yves},
abstractNote = {Numerous nonlinear driven systems display spectacular responses to forcing, including chaos and complex phase-locking plateaus characterized by 'devil's staircase', Arnold tongues, and Farey trees. In the universality class of Hamiltonian systems, a paradigm is the motion of a charged particle in two waves, which inspired a renormalization group method for its description. Here we report the observation of the underlying 'devil's staircase' by recording the beam velocity distribution function at the outlet of a traveling wave tube versus the amplitude of two externally induced waves.},
doi = {10.1103/PhysRevLett.95.264102},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 26,
volume = 95,
place = {United States},
year = {2005},
month = {12}
}