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Diffusion and transport phenomena in a collisional magnetoplasma having both streaming and temperature anisotropy: Collisional kinetics

机译:具有流动各向异性和温度各向异性的碰撞磁等离子体中的扩散和传输现象:碰撞动力学

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Boltzmann-transport equation is analytically solved for two-component magnetoplasma using Chapman-Enskog analysis to include collisional diffusion transport having anisotropies in both streaming velocity and temperature components. The modified collisional integrals are analytically solved with flux integrals and perturbed kinetic equation to arrive at drift diffusion velocity and resulting transport coefficients which are markedly affected by both streaming and temperature anisotropy. The early isotropic results are recovered in the limit V_0 = 0 and T_‖ = T_⊥ which reduce to eqs (11.30) and (11.31) of [1] and eqs (2.7) and (2.13) of [2]. The electrical resistivity (η_⊥) diminishes sharply in fusion temperature limit kT_⊥ = 1 keV. The shape of the curves for both electrical resistivity and thermal conductivity is rectangular hyperbolic. However, for low thermal ratio (T_‖/T_⊥ < 1), the curves are raised up and for high thermal ratio (T_‖/T_⊥ > 1), they are lowered down the isotropic case (T_‖/T_⊥ > 1), showing comparatively diminished magnitudes of the quantities.
机译:使用查普曼-恩斯科格(Chapman-Enskog)分析法对两组分磁浆的玻尔兹曼输运方程进行了解析,以包括在流速和温度分量上均具有各向异性的碰撞扩散输运。修改后的碰撞积分通过通量积分和扰动的动力学方程进行解析求解,从而得出漂移扩散速度以及由此产生的输运系数,这些系数受流和温度各向异性的影响很大。早期各向同性的结果在极限V_0 = 0和T_''=T_⊥中恢复,极限减小到[1]的等式(11.30)和(11.31)以及[2]的等式(2.7)和(2.13)。在熔化温度极限kT_⊥= 1 keV时,电阻率(η_⊥)急剧减小。电阻率和导热率曲线的形状均为矩形双曲线。但是,对于低热比率(T _” /T_⊥<1),曲线会上升;对于高热比率(T _” /T_⊥> 1),曲线会在各向同性的情况下降低(T _” /T_⊥> 1),显示数量相对减少。

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