Chaotic advection and particle pairs diffusion in a low-dimensional truncation of two-dimensional magnetohydrodynamics

被引:4
|
作者
Carbone, Francesco [1 ]
Telloni, Daniele [2 ]
Zank, Gary [3 ,4 ]
Sorriso-Valvo, Luca [5 ,6 ]
机构
[1] Univ Calabria, Inst Atmospher Pollut Res, CNR, I-87036 Arcavacata Di Rende, Italy
[2] Astrophys Observ Torino, Natl Inst Astrophys, Via Osservatorio 20, I-10025 Pino Torinese, Italy
[3] Univ Alabama, Ctr Space Plasma & Aeron Res CSPAR, Huntsville, AL 35899 USA
[4] Univ Alabama, Dept Space Sci, Huntsville, AL 35899 USA
[5] Swedish Inst Space Phys, Angstrom Lab, Lagerhyddsvagen 1, SE-75121 Uppsala, Sweden
[6] CNR, Ist Sci & Tecnol Plasmi, Via Amendola 122-D, I-70126 Bari, Italy
关键词
DISPERSION; TRANSPORT;
D O I
10.1209/0295-5075/ac7250
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The chaotic advection of fluid particle pairs is investigated though a low-order model of two-dimensional magnetohydrodynamic (MHD), where only five nonlinearly interacting modes are retained. The model is inthrinsically inhomogeneous and anisotropic because of the influence of large-scale fluctuations. Therefore, even though dynamically chaotic, the fields are unable to form the typical scaling laws of fully developed turbulence. Results show that a super-ballistic dynamics, reminiscent of the Richardson law of particle-pairs diffusion in turbulent flows, is robustly obtained using the truncated model. Indeed, even in the strongly reduced truncation presented here, particle diffusion in MHD turbulence has the same laws as the separation of velocity of particle pairs. The inherent anisotropy only affects the scaling of diffusivity, by enhancing the diffusion properties along one direction for small time-scales. Finally, when further anisotropy is introduced in the system through Alfven waves, fluid particles are trapped by these, and super-ballistic diffusion is replaced by Brownian-like diffusion. On the other hand, when the magnetic field is removed, the kinetic counterpart of the model does not show super-ballistic dynamics. Copyright (C) 2022 EPLA
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页数:7
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