### Abstract

A set of model equations of the dissipative trapped ion instability is derived and solved numerically. Multiple time scale expansion scheme is applied to the non-linear fluid equations of Kadomtsev and Pogutse by taking μ=ω⁄ν_{e} as a small parameter, where ω is the frequency of the wave and ν_{e} is the effective collision frequency of the electrons. All the modes except for the linearly most unstable one die away due to the mode coupling. Final saturation of the mode is attributed to the modification of background trapped ion number density averaged over the poloidal direction. The coefficient of trapped ion anomalous diffusion, which scales as D∝ν_{i}a^{2} (ν_{i} is the effective collision frequency of the ions and a is the minor radius of a torus) is also derived.

Original language | English |
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Pages (from-to) | 3701-3708 |

Number of pages | 8 |

Journal | Journal of the Physical Society of Japan |

Volume | 50 |

Issue number | 11 |

DOIs | |

Publication status | Published - 1981 Jan 1 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*50*(11), 3701-3708. https://doi.org/10.1143/JPSJ.50.3701