這篇論文主要為探討再 TOKAMAK 邊緣具混沌磁場下的粒子與熱的傳輸
現象,內容包含 動力學理論數值模擬電子與質子的密度和溫度。值得注意
的是在混沌磁場中依然有磁島存在,且對傳輸現象有重要影響。另一方面,被
拘束粒子因為絕熱不變量存在而不受混沌磁場影響,所以對傳輸現象影響很小。
經由將三維軌道投影至一維,我們以熱擴散方程式來研究此傳輸現象。這裡也
使用了 Chew-Goldberger-Low (CGL) 流體模型以及 "雙絕熱方程式" 用以推
導被拘束粒子的密度與溫度。

This thesis investigates the particle and heat transport in the presence of stochas-
tic magnetic field in a tokamak edge. The particles' density and temperature evolution,
both ions and electrons, by kinetic computation is presented. It is suggested that the
remnants of the magnetic islands in seemingly fully stochastic magnetic field plays
an important role in regulating transport. On the other hand, the trapped particles,
having their own adiabatic invariants are insensitive to magnetic stochasticity and do
not contribute much to the transport. By projecting the orbit in full three dimensional
space to one dimensional radial space, we investigate the transport phenomenon by
diffusion type equations. Fluid model by hew-Goldberger-Low (CGL) model and the
double adiabatic condition have been employed in providing theoretical analysis.

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