随机电磁场中测试粒子的位置和速度空间扩散
Position and velocity space diffusion of test particles in stochastic electromagnetic fields
摘要：
研究了随机电磁场中试验粒子的二维扩散动力学。合成电磁波动是通过随机放置的磁化"云“以频率$ω$振荡产生的。我们调查的均方位移的粒子在位置和速度空间。随着$ω$的增加，粒子在位置空间中经历标准（类布朗）运动、反常扩散和弹道运动。虽然在一般情况下，在速度空间中的扩散性质是不是平凡的位置空间中的那些相关，我们发现，只有当粒子显示异常扩散的位置空间中，存在的。当扩散过程为高斯过程时，扩散的反常特征仅表现在标度指数的非标准值上。
英文摘要：
The two--dimensional diffusive dynamics of test particles in a random electromagnetic field is studied. The synthetic electromagnetic fluctuations are generated through randomly placed magnetised ``clouds'' oscillating with a frequency $ω$. We investigate the mean square displacements of particles in both position and velocity spaces. As $ω$ increases the particles undergo standard (Brownian--like) motion, anomalous diffusion and ballistic motion in position space. Although in general the diffusion properties in velocity space are not trivially related to those in position space, we find that energization is present only when particles display anomalous diffusion in position space. The anomalous character of the diffusion is only in the non--standard values of the scaling exponents while the process is Gaussian.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
