测地声模的径向“蝌蚪”定域化结构  

The "tadpole" localization in radial structure of geodesic acoustic mode

作　　者：章扬忠[1] 谢涛[2] 

机构地区：[1]中国科学院磁聚变理论中心,合肥230031 [2]核工业西南物理研究院,成都610041

出　　处：《核聚变与等离子体物理》2013年第1期1-6,共6页Nuclear Fusion and Plasma Physics

基　　金：ITER-China Program(2010GB107000);National Natural Science Foundation of China(NSFC-11075162);National Magnetic Confinement Fusion Science Program(China)(2009GB101002)

摘　　要：从Braginskii冷离子流体模型出发,利用准环坐标系,导出了轴对称(环向模数为零的)扰动密度和扰动电位所服从的两个二维线性偏微分本征波方程。采用WKB法及Langer变换,解出了测地声模过转向点一致有效的整体模结构和分立本征频率谱;论述了不存在连续谱解的原因;指出Schrdinger意义下的径向高激发态对应了近零频模;论证了与测地声模定级分析的自洽性将导致"蝌蚪"定域化;并讨论了"蝌蚪"定域化理论与实验上所观察到的"多个测地声模共存"现象之间的关係。Based on the Braginskii＇s cold ion fluid model, using the quasi-toroidal coordinate system, the two partial differential equations of perturbed density and electrostatic potential describing axial-symmetric （zero toroidal mode number） sound waves have been derived. The coupled equations are then solved for the geodesic acoustic mode （GAM） by making use of the WKB method and Langer transform to obtain the uniformly valid radial mode structure over WKB turning point, and the eigen-frequencies are determined. It is found that no continuum solution for GAM is possible. The near-zero mode frequencies are identified to be associated with the ＂high energy＂ excited states in a sense of Schrrdinger equation. It is also argued that the radial structure consistency with GAM ordering demands the ＂tadpole＂ localization. The implication of the ＂tadpole＂ localization to ＂multi-GAM co-existence＂ observed is experimentally discussed.

关 键 词：测地声模 低-高模转换 蝌蚪定域化 Langer变换 

分 类 号：TL656[核科学技术—核技术及应用]