1962年Harris提出了至今仍被廣為使用的層狀電流片的電漿平衡態模式，也就是所謂的Harris磁場模式。此模式中的電流為一維平面，具反平行磁場，為目前所知唯一滿足靜態Vlasov與Maxwell方程式之解析解。其中的電子和離子遵循Maxwellian常態分佈，同時以相同的流體速度反向飄移以構成電流片，而電漿的熱壓則與磁場壓力保持力平衡的關係。
此篇論文為修正Harris模式中的一些假設條件，如分佈函數中的溫度與飄移速度皆為常數與Maxwellian 速度分佈函數，容許溫度和飄移速度可以隨空間變化外，並以更廣義的Kappa分佈函數取代Maxwellian函數得到一更廣義的解。我們的解在Kappa指數趨近無限大時會回到Harris的結果。此外，我們亦求得一廣義壓力與磁位向量函數
p(A) 的解析形式。在新的模式中，等效溫度已不再如Harris模式中是一個常數，而電流片的厚度也會隨著k值的減少而變得越薄。

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