Kinetic simulation of nonlinear phenomena of an ion acoustic wave in gas discharge plasma with convective scheme

Yasushi Matsunaga, Tadatsugu Hatori, Tomokazu Kato

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    Nonlinear phenomena of the ion acoustic wave in a negatively charged plasma-sheath system are observed in the simulation with a convective scheme described by a two-dimensional phase space, and are theoretically analyzed. Subharmonics of a fundamental mode are excited and show the bifurcation phenomena when the intensity of the ion source relating to the ionization is increased. A reversed electric field from the cathode to anode reveals that the ponderomotive force due to a high frequency mode pushes the ions toward the cathode. A nonlinear coupling of two modes through the ponderomotive force is a key idea to construct the model. Nonlinear dynamical model equations involving the coupling of the two modes and an interaction of the sheath with the two modes, i.e., two nonlinear effects, are proposed. The period-doubling bifurcations of the fundamental mode are examined by using the same growth rates with the flow velocity as in our previously published linear theory.

    Original languageEnglish
    Pages (from-to)1057-1069
    Number of pages13
    JournalPhysics of Plasmas
    Volume8
    Issue number3
    DOIs
    Publication statusPublished - 2001 Mar

    Fingerprint

    ion acoustic waves
    gas discharges
    kinetics
    ponderomotive forces
    simulation
    cathodes
    plasma sheaths
    period doubling
    sheaths
    ion sources
    anodes
    flow velocity
    ionization
    electric fields
    ions
    interactions

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Condensed Matter Physics

    Cite this

    Kinetic simulation of nonlinear phenomena of an ion acoustic wave in gas discharge plasma with convective scheme. / Matsunaga, Yasushi; Hatori, Tadatsugu; Kato, Tomokazu.

    In: Physics of Plasmas, Vol. 8, No. 3, 03.2001, p. 1057-1069.

    Research output: Contribution to journalArticle

    @article{1dba7cfa33294f0598c41a0f974ce31e,
    title = "Kinetic simulation of nonlinear phenomena of an ion acoustic wave in gas discharge plasma with convective scheme",
    abstract = "Nonlinear phenomena of the ion acoustic wave in a negatively charged plasma-sheath system are observed in the simulation with a convective scheme described by a two-dimensional phase space, and are theoretically analyzed. Subharmonics of a fundamental mode are excited and show the bifurcation phenomena when the intensity of the ion source relating to the ionization is increased. A reversed electric field from the cathode to anode reveals that the ponderomotive force due to a high frequency mode pushes the ions toward the cathode. A nonlinear coupling of two modes through the ponderomotive force is a key idea to construct the model. Nonlinear dynamical model equations involving the coupling of the two modes and an interaction of the sheath with the two modes, i.e., two nonlinear effects, are proposed. The period-doubling bifurcations of the fundamental mode are examined by using the same growth rates with the flow velocity as in our previously published linear theory.",
    author = "Yasushi Matsunaga and Tadatsugu Hatori and Tomokazu Kato",
    year = "2001",
    month = "3",
    doi = "10.1063/1.1345707",
    language = "English",
    volume = "8",
    pages = "1057--1069",
    journal = "Physics of Plasmas",
    issn = "1070-664X",
    publisher = "American Institute of Physics Publising LLC",
    number = "3",

    }

    TY - JOUR

    T1 - Kinetic simulation of nonlinear phenomena of an ion acoustic wave in gas discharge plasma with convective scheme

    AU - Matsunaga, Yasushi

    AU - Hatori, Tadatsugu

    AU - Kato, Tomokazu

    PY - 2001/3

    Y1 - 2001/3

    N2 - Nonlinear phenomena of the ion acoustic wave in a negatively charged plasma-sheath system are observed in the simulation with a convective scheme described by a two-dimensional phase space, and are theoretically analyzed. Subharmonics of a fundamental mode are excited and show the bifurcation phenomena when the intensity of the ion source relating to the ionization is increased. A reversed electric field from the cathode to anode reveals that the ponderomotive force due to a high frequency mode pushes the ions toward the cathode. A nonlinear coupling of two modes through the ponderomotive force is a key idea to construct the model. Nonlinear dynamical model equations involving the coupling of the two modes and an interaction of the sheath with the two modes, i.e., two nonlinear effects, are proposed. The period-doubling bifurcations of the fundamental mode are examined by using the same growth rates with the flow velocity as in our previously published linear theory.

    AB - Nonlinear phenomena of the ion acoustic wave in a negatively charged plasma-sheath system are observed in the simulation with a convective scheme described by a two-dimensional phase space, and are theoretically analyzed. Subharmonics of a fundamental mode are excited and show the bifurcation phenomena when the intensity of the ion source relating to the ionization is increased. A reversed electric field from the cathode to anode reveals that the ponderomotive force due to a high frequency mode pushes the ions toward the cathode. A nonlinear coupling of two modes through the ponderomotive force is a key idea to construct the model. Nonlinear dynamical model equations involving the coupling of the two modes and an interaction of the sheath with the two modes, i.e., two nonlinear effects, are proposed. The period-doubling bifurcations of the fundamental mode are examined by using the same growth rates with the flow velocity as in our previously published linear theory.

    UR - http://www.scopus.com/inward/record.url?scp=0035274079&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0035274079&partnerID=8YFLogxK

    U2 - 10.1063/1.1345707

    DO - 10.1063/1.1345707

    M3 - Article

    AN - SCOPUS:0035274079

    VL - 8

    SP - 1057

    EP - 1069

    JO - Physics of Plasmas

    JF - Physics of Plasmas

    SN - 1070-664X

    IS - 3

    ER -