Bimodal velocity distribution induced by Levy noise
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摘要: 研究了非线性阻尼驱动的惯性莱维飞行在自由势场中的反常输运。通过引入依赖于速度的非线性阻尼，长程跳跃的莱维粒子被束缚，粒子的动力学行为由发散收敛为与时间呈正比的正常扩散。观察到在自由势场中莱维飞行的速度的定态概率分布呈双模分布形式，更为重要的是，观察到双模形式与莱维系数及非线性阻尼系数相关。Abstract: Anomalous transport of inertial Levy flight subject to nonlinear friction in force-free potential is studied. By introducing velocity-dependent nonlinear friction, long-jump Levy particles are constrained, and the dynamical behavior of the particles is changed to normal diffusion. It is observed that velocity probability distribution shows bimodal model distribution. Moreover, the bimodal model is connected with Levy index and nonlinear index.
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Key words:
- Levy flight /
- nonlinear friction /
- anomalous transport /
- bimodal model distribution
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