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Stochastic diffusion of magnetic field lines

H Sugimoto, T Kurasawa, H Ashida1994年Plasma Physics and Controlled FusionIF 2.2出版社

A renormalized diffusion coefficient for magnetic field lines is presented by using the renormalized weak turbulence theory. It is defined on locally destroyed magnetic surfaces caused by two tearing modes. The renormalized diffusion coefficient is given in terms of a renormalized propagator expressed by the integral of the Bessel function of the first kind, J1. It is free from delta -function-type divergence. An averaged renormalized propagator is introduced whose imaginary part represents the behaviour of the memory of the initial condition. Numerical calculation shows that the averaged propagator decreases within a correlation damping time.

日本語訳

再正規化された拡散係数が、再正規化された弱乱流理論を用いて磁力線に対して提示される。これは、二つのテアリングモードによって引き起こされる局所的に破壊された磁気面に対して定義される。再正規化された拡散係数は、第一種ベッセル関数J1の積分によって表される再正規化された伝播関数を用いて与えられる。これはデルタ関数型の発散を含まない。平均化された再正規化伝播関数が導入され、その虚部は初期条件の記憶の挙動を表す。数値計算により、平均化された再正規化伝播関数は相関減衰時間内に減少することが示される。

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