摘要翻译:
研究了随机电磁场中试验粒子的二维扩散动力学。合成的电磁涨落是通过随机放置的磁化云以$\omega$的频率振荡产生的。我们研究了粒子在位置空间和速度空间中的均方位移。随着ω$的增加,粒子在位置空间中经历了标准(类布朗)运动、反常扩散和弹道运动。虽然通常速度空间中的扩散性质与位置空间中的扩散性质并无密切关系,但我们发现只有当粒子在位置空间中表现出反常扩散时才存在能量。扩散的反常特征只存在于标度指数的非标准值中,而扩散过程是高斯的。
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英文标题:
《Position and velocity space diffusion of test particles in stochastic
electromagnetic fields》
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作者:
Silvia Perri, Fabio Lepreti, Vincenzo Carbone, Angelo Vulpiani
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:Chaotic Dynamics 混沌动力学
分类描述:Dynamical systems, chaos, quantum chaos, topological dynamics, cycle expansions, turbulence, propagation
动力系统,混沌,量子混沌,拓扑动力学,循环展开,湍流,传播
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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 $\omega$. We investigate the mean square displacements of particles in both position and velocity spaces. As $\omega$ 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.
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PDF链接:
https://arxiv.org/pdf/705.461