Fokker-Planck方程何时能描述反常或混沌输运？
When can Fokker-Planck Equation describe anomalous or chaotic transport?
摘要：
Fokker-Planck方程应用于聚变等离子体中的输运过程，可以模拟几种异常特征，包括上坡输运、约束时间随系统尺寸的缩放以及外部诱导扰动的对流传播。如果描述动力学的哈密顿量有足够的随机性，那么对于一般的粒子输运来说，这是合理的。然后，除了1个自由度，这两个传输系数在很大程度上是独立的。根据所关注的统计，同一个动力系统可能被发现是扩散的，或者被它的Lévy飞行所支配。
英文摘要：
The Fokker-Planck Equation, applied to transport processes in fusion plasmas, can model several anomalous features, including uphill transport, scaling of confinement time with system size, and convective propagation of externally induced perturbations. It can be justified for generic particle transport provided that there is enough randomness in the Hamiltonian describing the dynamics. Then, except for 1 degree-of-freedom, the two transport coefficients are largely independent. Depending on the statistics of interest, the same dynamical system may be found diffusive or dominated by its Lévy flights.
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。
