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arXiv 1507.07464physics.plasm-ph
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拉格朗日相干结构与等离子体输运过程

Lagrangian coherent structures and plasma transport processes

M. V. Falessi, F. Pegoraro, T. J. Schep

摘要:

用动力学系统框架描述了磁场中等离子体的输运过程。对于具有一个自由度的周期系统,庞加莱映射提供了相空间的分裂成粒子具有不同类型运动的区域:周期,准周期或混沌。这些区域的边界是运输障碍;即,在系统的整个演化过程中,轨迹不能跨越这些边界。拉格朗日相干结构(LCS)将这种方法推广到具有最一般时间依赖性的系统,将相空间分裂成具有不同定性行为的区域。这导致了有限时间传输障碍的定义,即轨迹在有限的时间内不能穿过障碍。该方法可用于识别动力系统中的快速再循环区域,并表征它们之间的传输。

英文摘要:

A dynamical system framework is used to describe transport processes in plasmas embedded in a magnetic field. For periodic systems with one degree of freedom the Poincaré map provides a splitting of the phase space into regions where particles have different kinds of motion: periodic, quasi-periodic or chaotic. The boundaries of these regions are transport barriers; i.e., a trajectory cannot cross such boundaries during the whole evolution of the system. Lagrangian Coherent Structure (LCS) generalize this method to systems with the most general time dependence, splitting the phase space into regions with different qualitative behaviours. This leads to the definition of finite-time transport barriers, i.e. trajectories cannot cross the barrier for a finite amount of time. This methodology can be used to identify fast recirculating regions in the dynamical system and to characterize the transport between them.

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。

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