Temporal dynamics in the one-dimensional quantum Zakharov equations for plasmas

Journal Article · Mon Mar 15 04:00:00 EDT 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3356059· OSTI ID:21347171

Misra, A P; Haas, F ^[1]; Banerjee, S ^[2]; Shukla, P K ^[3]; Assis, L P. G. ^[4]

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1. Department of Physics, Umeaa University, SE-901 87 Umeaa (Sweden)
2. Department of Mathematics, Politecnico di Torino, Turin (Italy)
3. Institut fuer Theoretische Physik IV, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
4. Grupo de Fisica Teorica e Matematica Fisica, Universidade Federal Rural do Rio de Janeiro, BR 465-07, 23851-180 Seropedica, Rio de Janeiro (Brazil)

The temporal dynamics of the quantum Zakharov equations in one spatial dimension, which describes the nonlinear interaction of quantum Langmuir waves and quantum ion-acoustic waves, is revisited by considering their solution as a superposition of three interacting wave modes in Fourier space. Previous results in the literature are modified and rectified. Periodic, chaotic, and hyperchaotic behaviors of the Fourier-mode amplitudes are identified by the analysis of Lyapunov exponent spectra and the power spectrum. The periodic route to chaos is explained through a one-parameter bifurcation analysis. The system is shown to be destabilized via a supercritical Hopf-bifurcation. The adiabatic limits of the fully spatiotemporal and reduced systems are compared from the viewpoint of integrability properties.

• OSTI ID: 21347171
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 17; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BIFURCATION
CALCULATION METHODS
INSTABILITY
ION ACOUSTIC WAVES
ION WAVES
LYAPUNOV METHOD
NONLINEAR PROBLEMS
PLASMA
PLASMA INSTABILITY
PLASMA WAVES