We analyze the stochastic acceleration of particles inside a fully developed turbulent plasma. It is well known that large-amplitude magnetic fluctuations and coherent structures in such an environment obey a fractal scaling, and our specific aim is to study for the first time the effects of the fractality of these environments on stochastic acceleration. We have shown that an injected Maxwellian energy distribution is heated and forms a high-energy tail in a very short time. Using standard parameters for the low solar corona, the injected Maxwellian distribution of electrons gets heated from the initial 100 eV to 10 KeV, and the power-law index of the high-energy tail is about −2.3. The high-energy tail starts around 100 keV, and reaches 10 MeV. The index of the power-law tail depends on the system size, and it is in good agreement with observed values for realistic system sizes. The heating and acceleration process is very fast (∼2 s). The reason why the acceleration time is ...

中文翻译：

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分形环境中的随机湍流加速

我们分析了完全发展的湍流等离子体中颗粒的随机加速度。众所周知，在这样的环境中，大振幅的磁波动和相干结构服从分形标度，我们的具体目标是第一次研究这些环境的分形性对随机加速度的影响。我们已经表明，注入的麦克斯韦能量分布被加热并在很短的时间内形成高能尾巴。使用低太阳日冕的标准参数，注入的麦克斯韦电子分布从最初的100 eV加热到10 KeV，高能尾的幂律指数约为-2.3。高能尾巴始于100 keV，并达到10 MeV。幂律尾部的索引取决于系统大小，并且与实际系统尺寸的观测值非常吻合。加热和加速过程非常快（约2 s）。加速时间之所以是...