An analytical dispersion relation is derived which shows that, in toroidal plasmas, zonal flows can be spontaneously excited via modulations in the radial envelope of a single-n coherent drift wave, with n the toroidal mode number. Predicted instability features are verified by three-dimensional global gyrokinetic simulations of the ion-temperature-gradient mode. Nonlinear equations for mode amplitudes demonstrate saturation of the linearly unstable pump wave and nonlinear oscillations of the drift-wave intensity and zonal flows, with a parameter-dependent period doubling route to chaos. (C) 2000 American Institute of Physics. [S1070-664X(00)01208-8].
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Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Yu, Jun
Gong, Xueyu
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Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Gong, Xueyu
Chen, You
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Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
机构:
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Yu, Jun
Gong, Xueyu
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Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China