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Heat flux effects in Ohm's law

M G Haines1986年Plasma Physics and Controlled FusionIF 2.2出版社

The velocity dependence of the collision frequency nu in a plasma causes the appearance of the thermoelectric field and heat flux effects in Ohm's law. An artificial dependence on electron velocity nu of v varies as nu -2 allows an exact representation of the two terms valid for any isotropic lowest order distribution function. The thermoelectric coefficient and the electric conductivity are isotropic (i.e. independent of the Hall parameter) in this model, and there is a magnetomotive force, additional to the usual v*B/c term, equal to 2(qT*B)/5(pec) where qT is the total electron flux (measured in the ion rest frame) and pe is the electron pressure. Similarly the inertial contribution to Ohm's law depends on delta qT/ delta t. Comparison is made with the full Braginskii transport (as modified by Epperlein and Haines 1986), including electron-electron collisions, for a lowest order Maxwellian distribution. If Ohm's law is written in a more physical form to include a term in qe*B (where qe is the electron heat flux measured in the electron fluid rest frame), it leads to a good approximation also to an isotropic thermoelectric coefficient and electric conductivity. Some applications of this new form of Ohm's law are outlined, particularly the role of the qe*B term.

日本語訳

プラズマ中の衝突周波数νの速度依存性は、オームの法則における熱電場と熱流束の効果の出現をもたらす。νの電子速度vに対する人為的依存性をv^{-2}として変化させることで、任意の等方的な最低次分布関数に対して有効な2つの項の厳密な表現が可能になる。このモデルでは、熱電係数と電気伝導度は等方的(すなわちホールパラメータに依存しない)であり、通常の v*B/c 項に加えて、2(qT*B)/5(pec) に等しい起磁力が存在する。ここで、qT は全電子フラックス(イオン静止系で測定される)であり、pe は電子圧力である。同様に、オームの法則への慣性寄与は ∂qT/∂t に依存する。最低次のマクスウェル分布に対して、電子-電子衝突を含む完全なブラギンスキー輸送(エッパーラインとヘインズ(1986年)によって修正されたもの)との比較が行われる。オームの法則を、qe*B の項(ここで qe は電子流体静止系で測定された電子熱流束である)を含むより物理的な形で書くと、等方的な熱電係数と電気伝導度に対しても良い近似が得られる。この新しい形のオームの法則のいくつかの応用が概説され、特に qe*B 項の役割が述べられる。

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