Conservative, dissipative and super-diffusive behavior of a particle propelled in a regular flow

PHYSICA D-NONLINEAR PHENOMENA

卷:411

Article

Ariel, Gil¹  Schiff, Jeremy¹ 

[1] Bar Ilan Univ, Dept Math, IL-5290002 Ramat Gan, Israel

关键词: Reversible systems;    Chaos;    Regular island;    Mixed dynamics;    Super-diffusion;    Levy walk;   

DOI  :  10.1016/j.physd.2020.132584

来源: Elsevier

【 摘 要 】

A recent model of Ariel et al. (2017) for explaining the observation of Levy walks in swarming bacteria suggests that self-propelled, elongated particles in a periodic array of regular vortices perform a super-diffusion that is consistent with Levy walks. The equations of motion, which are reversible in time but not volume preserving, demonstrate a new route to Levy walking in chaotic systems. Here, the dynamics of the model is studied both analytically and numerically. It is shown that the apparent super-diffusion is due to sticking'' of trajectories to elliptic islands, regions of quasi-periodic orbits reminiscent of those seen in conservative systems. However, for certain parameter values, these islands coexist with asymptotically stable periodic trajectories, causing dissipative behavior on very long time scales. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free