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

Pages (from-to) | 1057-1069 |

Number of pages | 13 |

Journal | Physics of Plasmas |

Volume | 8 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2001 Mar |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Condensed Matter Physics

### Cite this

*Physics of Plasmas*,

*8*(3), 1057-1069. https://doi.org/10.1063/1.1345707

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

Research output: Contribution to journal › Article

*Physics of Plasmas*, vol. 8, no. 3, pp. 1057-1069. https://doi.org/10.1063/1.1345707

}

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 -