A two-fluid dynamic model of long-lived coronal loops is presented, whereby heating of the confined plasma is achieved by turbulence-driven Alfven waves. It is assumed that the nonthermal motions inferred from spectral line observations in the transition region are due to Alfven waves. It is also assumed that the turbulence is already fully developed when the waves are injected at the footpoint of the loop while the wave/turbulence energy is readily absorbed by the proton gas. The Coulomb coupling between protons and electrons subsequently heats the electron gas. The model produces a fairly uniform electron temperature in the coronal segment of the loop even though the heating is nonuniform. The model also reproduces electron densities of (1-4) x 10~9 cm~(-3), in the range inferred from observations, as well as a moderate flow speed around 10 km s~(-1) along the loop. The turbulence heating mechanism adopted in this Letter, however, cannot produce stable loops with temperatures T ≤ 1.3 x 10~6 K.
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机译：提出了一种长寿命冠状环的双流体动力学模型，从而通过湍流驱动的Alfven波实现了对受限等离子体的加热。假设从光谱线观察到的过渡区域中的非热运动是由于阿尔文波引起的。还假设当在环的脚点处注入波时，湍流已经完全形成，而波/湍流能量容易被质子气体吸收。质子和电子之间的库仑耦合随后加热了电子气。即使加热不均匀，该模型也会在回路的冠状部分产生相当均匀的电子温度。该模型还重现了（1-4）x 10〜9 cm〜（-3）的电子密度（在从观察得出的范围内）以及沿着环路的大约10 km s〜（-1）的中等流速。但是，本信中采用的湍流加热机制不能产生温度T≤1.3 x 10〜6 K的稳定回路。
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