Simple Model Analysis of Hysteresis Phenomenon of Gas Discharge Plasma

Yasushi Matsunaga, Tomokazu Kato

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    The hysteresis and multiple-steady states of gas discharge plasma are analyzed by a simple model of chemical-reaction system. In our analysis the emergence of multiple-steady states is explained by using a fact that a function describing the energy balance has three different real roots. The condition that the function has three roots depends on the ratio of the bulk energy increase to the surface energy loss of plasma. The criterion of taking place of the jump between two steady states is examined in a similar manner to order-disorder transition. The critical parameter contains the non-thermodynamic variables such as conductivity and surface quantities. Stabilities of three obtained solutions are discussed by using linear analysis of differential equations and we find that a root represents a saddle point and other two roots represent stable points. The first step to explain the hysteresis phenomenon in Ar gas discharge plasma is found.

    Original languageEnglish
    Pages (from-to)115-119
    Number of pages5
    JournalJournal of the Physical Society of Japan
    Volume66
    Issue number1
    Publication statusPublished - 1997 Jan

    Fingerprint

    gas discharges
    hysteresis
    saddle points
    surface energy
    chemical reactions
    differential equations
    energy dissipation
    disorders
    conductivity
    energy

    Keywords

    • Gas discharge plasma
    • Hysteresis phenomenon
    • Multiple-steady state
    • Nonlinear phenomenon
    • Sheath

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Simple Model Analysis of Hysteresis Phenomenon of Gas Discharge Plasma. / Matsunaga, Yasushi; Kato, Tomokazu.

    In: Journal of the Physical Society of Japan, Vol. 66, No. 1, 01.1997, p. 115-119.

    Research output: Contribution to journalArticle

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