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摘要翻译：
最近提出了一种新的Kramers-Fokker-Planck方程[R.Friedrich et al.Phys.Rev.Lett.{\BF 96},230601(2006)],描述了外势中的反常扩散。在本文中，考虑了谐波势和速度相关阻尼的显式情况。给出了这些情形的精确矩关系，并讨论了长时间的渐近性态。有趣的是，边界势和附加阻尼本身导致了亚扩散行为，而共同作用的粒子在很长时间内变得局域化。
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英文标题：
《Anomalous Diffusion of particles with inertia in external potentials》
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作者：
S.Eule, R.Friedrich and F.Jenko
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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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英文摘要：
Recently a new type of Kramers-Fokker-Planck Equation has been proposed [R. Friedrich et al. Phys. Rev. Lett. {\bf 96}, 230601 (2006)] describing anomalous diffusion in external potentials. In the present paper the explicit cases of a harmonic potential and a velocity-dependend damping are incorporated. Exact relations for moments for these cases are presented and the asymptotic behaviour for long times is discussed. Interestingly the bounding potential and the additional damping by itself lead to a subdiffussive behaviour, while acting together the particle becomes localized for long times.
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PDF链接：
https://arxiv.org/pdf/705.148
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