Anomalous cross-field electron transport in a specified magnetic field with weakly-destroyed flux surfaces is discussed. Following the approach developed previously in the present paper the regimes of effective transverse plasma transport are studied systematically, both in the collisional and collisionless limits. The present analysis incorporates the nonstationary of magnetic perturbations, which was not included in the previous works. Part I of this study deals with the quasi-linear approximation, which may be written as b0L0/ delta <<1, where b0= delta Bperpendicular to /B0 represents the relative magnitude of the transverse magnetic perturbation, while L0 and delta represent the longitudinal and transverse correlation lengths, respectively. It is found that some of the previously-described transport regimes cannot be considered as anomalous (in the sense that effective heat conduction chi eff>> chi perpendicular to ) for time-independent magnetic perturbations. However, these regimes can exist in the presence a finite-frequency magnetic flutter. A unified classification of quasi-linear regimes of anomalous transport is introduced in order to further extend the analysis to the strong magnetic turbulence limit b0L0/ delta >>1 (see Part II), which is considered as a companion paper. (Isichenko, ibid., vol.33, no.7, p.809-26 (1991)).
異常な横断磁場電子輸送が、弱く破壊された磁気面を有する特定の磁場中で議論される。本論文で以前に展開されたアプローチに従い、有効な横断輸送のレジームが、衝突的および無衝突的の両極限において系統的に研究される。本解析は、以前の研究では含まれていなかった磁気擾乱の非定常性を組み込んでいる。本研究の第I部は準線形近似を扱い、これはb0L0/δ << 1と表すことができ、ここでb0 = δB⊥/B0は横断磁気擾乱の相対的な大きさを表し、L0とδはそれぞれ縦方向および横方向の相関長を表す。時間に依存しない磁気擾乱に対しては、前述の輸送レジームのいくつかは異常（有効熱伝導率χeff >> χ⊥という意味で）とはみなせないことが見出された。しかしながら、これらのレジームは有限周波数の磁気フラッターの存在下では存在し得る。異常輸送の準線形レジームの統一的分類が、強磁気乱流極限b0L0/δ >> 1への解析のさらなる拡張のために導入される（第II部を参照）。これは姉妹論文として扱われる。（Isichenko, ibid., vol.33, no.7, p.809-26 (1991)）