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Mutual Exclusion of Normal Particle Diffusion in Velocity and Configuration Space

机译:速度和配置空间中正常粒子扩散的互斥

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There is growing evidence that fluctuating electric fields might be important not only in the context of particle diffusion in laboratory plasmas and stochastic particle acceleration in solar flares but also for particle transport in the interplanetary solar wind plasma expanding toward the outer heliosphere. Based on first principles involving the Newton-Lorentz equation, a general approach is outlined that combines a simultaneous particle random walk in position and velocity space. Two special limits are considered. For weak turbulent electric fields, it is shown that particle diffusion in velocity space, commonly known as stochastic acceleration, is subdiffusive and therefore suppressed if particle diffusion in configuration space is normal (Markovian). For strong turbulent electric fields, normal diffusion in velocity space is obtained, but particle transport in position space must then be superdiffusive. Simultaneous normal particle diffusion in configuration and velocity space is mutually exclusive, at least for the limit of weak and strong electric fields. For the latter limit, a relation between spatial and velocity diffusion coefficients is derived and compared with recent simulation results obtained in the context of particle acceleration in solar flares. A good agreement is found.
机译:越来越多的证据表明,波动的电场可能不仅对实验室等离子体中的粒子扩散和太阳耀斑中的随机粒子加速有重要意义,而且对于行星际太阳风等离子体向外太阳圈膨胀的粒子传输也很重要。基于涉及牛顿-洛伦兹方程的第一原理,概述了一种通用方法,该方法结合了位置和速度空间中同时发生的粒子随机游动。考虑了两个特殊限制。对于弱的湍流电场,表明速度空间中的粒子扩散(通常称为随机加速度)是次扩散的,因此如果构型空间中的粒子扩散是正常的(马尔可夫),则可以抑制这种扩散。对于强湍流电场,可以获得速度空间中的正常扩散,但是位置空间中的粒子传输必须是超扩散的。至少在弱和强电场的限制下,在构型和速度空间中同时进行正常粒子扩散是互斥的。对于后一个极限,推导了空间扩散系数和速度扩散系数之间的关系,并将其与在太阳耀斑中粒子加速的情况下获得的最新模拟结果进行了比较。找到了一个很好的协议。

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