Large-amplitude oscillations and chaos in a Hamiltonian plasma system with many degrees of freedom

Journal Article · Wed Sep 01 00:00:00 EDT 2004 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.70.036407· OSTI ID:20636604

Farina, Daniela ^[1]; Pozzoli, Roberto ^[2]

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1. Istituto di Fisica del Plasma, Consiglio Nazionale delle Ricerche, EURATOM-ENEA-CNR Association, via Cozzi 53, 20125 Milan (Italy)
2. Istituto Nazionale di Fisica Nucleare and Istituto Nazionale di Fisica della Materia, Universita degli Studi di Milano, Dipartimento di Fisica, via Celoria 16, 20133 Milan (Italy)

Taking the beam-plasma system as a reference Hamiltonian system with many degrees of freedom, the connection between the development of large amplitude oscillations and stochasticity of the system (measured through the time-dependent maximum Lyapunov exponent) is investigated. It is found that the development of self-consistent large amplitude oscillations occurs in correspondence with the onset of chaos, and is related to a well defined change of topology of the phase space of the system. It is also shown that in a (Hamiltonian) linearly stable regime the development of large amplitude oscillations can occur when weakly dissipative processes are introduced.

• OSTI ID: 20636604
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 3 Vol. 70; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
BEAM-PLASMA SYSTEMS
CHAOS THEORY
DEGREES OF FREEDOM
FLUCTUATIONS
HAMILTONIANS
LYAPUNOV METHOD
NONLINEAR PROBLEMS
OSCILLATIONS
PHASE SPACE
PLASMA
PLASMA WAVES
TIME DEPENDENCE
TOPOLOGY