TY - JOUR

T1 - Numerical Investigation of Saturation Mechanism of the Dissipative Trapped Ion Instability

AU - Hatayama, Akiyoshi

AU - Koshi, Yuji

AU - Ogasawara, Masatada

N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

PY - 1981

Y1 - 1981

N2 - 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⁄νe as a small parameter, where ω is the frequency of the wave and νe 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∝νia2 (νi is the effective collision frequency of the ions and a is the minor radius of a torus) is also derived.

AB - 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⁄νe as a small parameter, where ω is the frequency of the wave and νe 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∝νia2 (νi is the effective collision frequency of the ions and a is the minor radius of a torus) is also derived.

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U2 - 10.1143/JPSJ.50.3701

DO - 10.1143/JPSJ.50.3701

M3 - Article

AN - SCOPUS:77952782281

VL - 50

SP - 3701

EP - 3708

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 11

ER -