### 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 language | English |
---|---|

Pages (from-to) | 115-119 |

Number of pages | 5 |

Journal | Journal of the Physical Society of Japan |

Volume | 66 |

Issue number | 1 |

Publication status | Published - 1997 Jan |

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### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*66*(1), 115-119.

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

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 66, no. 1, pp. 115-119.

}

TY - JOUR

T1 - Simple Model Analysis of Hysteresis Phenomenon of Gas Discharge Plasma

AU - Matsunaga, Yasushi

AU - Kato, Tomokazu

PY - 1997/1

Y1 - 1997/1

N2 - 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.

AB - 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.

KW - Gas discharge plasma

KW - Hysteresis phenomenon

KW - Multiple-steady state

KW - Nonlinear phenomenon

KW - Sheath

UR - http://www.scopus.com/inward/record.url?scp=0031484247&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031484247&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031484247

VL - 66

SP - 115

EP - 119

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 1

ER -