Observations of linear and nonlinear processes in the foreshock wave evolution

Y. Narita, K. H. Glassmeier, M. Fränz, Y. Nariyuki, Tohru Hada

    Research output: Contribution to journalArticle

    26 Citations (Scopus)

    Abstract

    Waves in the foreshock region are studied on the basis of a hypothesis that the linear process first excites the waves and further wave-wave nonlinearities distribute scatter the energy of the primary waves into a number of daughter waves. To examine this wave evolution scenario, the dispersion relations, the wave number spectra of the magnetic field energy, and the dimensionless cross helicity are determined from the observations made by the four Cluster spacecraft. The results confirm that the linear process is the ion/ion right-hand resonant instability, but the wave-wave interactions are not clearly identified. We discuss various reasons why the test for the wave-wave nonlinearities fails, and conclude that the higher order statistics would provide a direct evidence for the wave coupling phenomena.

    Original languageEnglish
    Pages (from-to)361-371
    Number of pages11
    JournalNonlinear Processes in Geophysics
    Volume14
    Issue number4
    DOIs
    Publication statusPublished - Jan 1 2007

    Fingerprint

    foreshock
    nonlinearity
    wave-wave interaction
    Ions
    ion
    Higher order statistics
    wave interaction
    energy
    spacecraft
    ions
    Spacecraft
    magnetic field
    statistics

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Geophysics
    • Geochemistry and Petrology

    Cite this

    Observations of linear and nonlinear processes in the foreshock wave evolution. / Narita, Y.; Glassmeier, K. H.; Fränz, M.; Nariyuki, Y.; Hada, Tohru.

    In: Nonlinear Processes in Geophysics, Vol. 14, No. 4, 01.01.2007, p. 361-371.

    Research output: Contribution to journalArticle

    Narita, Y. ; Glassmeier, K. H. ; Fränz, M. ; Nariyuki, Y. ; Hada, Tohru. / Observations of linear and nonlinear processes in the foreshock wave evolution. In: Nonlinear Processes in Geophysics. 2007 ; Vol. 14, No. 4. pp. 361-371.
    @article{db25465a5a4c4143b61b967fa0b67c02,
    title = "Observations of linear and nonlinear processes in the foreshock wave evolution",
    abstract = "Waves in the foreshock region are studied on the basis of a hypothesis that the linear process first excites the waves and further wave-wave nonlinearities distribute scatter the energy of the primary waves into a number of daughter waves. To examine this wave evolution scenario, the dispersion relations, the wave number spectra of the magnetic field energy, and the dimensionless cross helicity are determined from the observations made by the four Cluster spacecraft. The results confirm that the linear process is the ion/ion right-hand resonant instability, but the wave-wave interactions are not clearly identified. We discuss various reasons why the test for the wave-wave nonlinearities fails, and conclude that the higher order statistics would provide a direct evidence for the wave coupling phenomena.",
    author = "Y. Narita and Glassmeier, {K. H.} and M. Fr{\"a}nz and Y. Nariyuki and Tohru Hada",
    year = "2007",
    month = "1",
    day = "1",
    doi = "10.5194/npg-14-361-2007",
    language = "English",
    volume = "14",
    pages = "361--371",
    journal = "Nonlinear Processes in Geophysics",
    issn = "1023-5809",
    publisher = "European Geosciences Union",
    number = "4",

    }

    TY - JOUR

    T1 - Observations of linear and nonlinear processes in the foreshock wave evolution

    AU - Narita, Y.

    AU - Glassmeier, K. H.

    AU - Fränz, M.

    AU - Nariyuki, Y.

    AU - Hada, Tohru

    PY - 2007/1/1

    Y1 - 2007/1/1

    N2 - Waves in the foreshock region are studied on the basis of a hypothesis that the linear process first excites the waves and further wave-wave nonlinearities distribute scatter the energy of the primary waves into a number of daughter waves. To examine this wave evolution scenario, the dispersion relations, the wave number spectra of the magnetic field energy, and the dimensionless cross helicity are determined from the observations made by the four Cluster spacecraft. The results confirm that the linear process is the ion/ion right-hand resonant instability, but the wave-wave interactions are not clearly identified. We discuss various reasons why the test for the wave-wave nonlinearities fails, and conclude that the higher order statistics would provide a direct evidence for the wave coupling phenomena.

    AB - Waves in the foreshock region are studied on the basis of a hypothesis that the linear process first excites the waves and further wave-wave nonlinearities distribute scatter the energy of the primary waves into a number of daughter waves. To examine this wave evolution scenario, the dispersion relations, the wave number spectra of the magnetic field energy, and the dimensionless cross helicity are determined from the observations made by the four Cluster spacecraft. The results confirm that the linear process is the ion/ion right-hand resonant instability, but the wave-wave interactions are not clearly identified. We discuss various reasons why the test for the wave-wave nonlinearities fails, and conclude that the higher order statistics would provide a direct evidence for the wave coupling phenomena.

    UR - http://www.scopus.com/inward/record.url?scp=34547257826&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=34547257826&partnerID=8YFLogxK

    U2 - 10.5194/npg-14-361-2007

    DO - 10.5194/npg-14-361-2007

    M3 - Article

    AN - SCOPUS:34547257826

    VL - 14

    SP - 361

    EP - 371

    JO - Nonlinear Processes in Geophysics

    JF - Nonlinear Processes in Geophysics

    SN - 1023-5809

    IS - 4

    ER -