Anomalous diffusion of inertial, weakly damped particles
Anomalous diffusion of inertial, weakly damped particles
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DOI：
10.1103/physrevlett.96.230601
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发表时间：
2006-06-16
影响因子：
8.6
通讯作者：
Eule, S.
中科院分区：
文献类型：
--
作者：
Friedrich, R.;Jenko, F.;Eule, S.
研究了受到确定性加速度和一系列“随机踢”作用的粒子的反常（即非高斯）动力学。基于连续时间随机游走概念向位置-速度空间的扩展，推导了一个新的Kramers-Fokker-Planck 型分数阶方程。相关的碰撞算子必然涉及分数实质导数，代表时间和空间上的重要非局部耦合。对于无力的情况，找到并讨论了封闭的解决方案。
The anomalous (i.e., non-Gaussian) dynamics of particles subject to a deterministic acceleration and a series of "random kicks" is studied. Based on an extension of the concept of continuous time random walks to position-velocity space, a new fractional equation of the Kramers-Fokker-Planck type is derived. The associated collision operator necessarily involves a fractional substantial derivative, representing important nonlocal couplings in time and space. For the force-free case, a closed solution is found and discussed.