@article{52b4222a796b46368441fb19397280f9,
title = "Energy spectrum of tearing mode turbulence in sheared background field",
abstract = "The energy spectrum of tearing mode turbulence in a sheared background magnetic field is studied in this work. We consider the scenario where the nonlinear interaction of overlapping large-scale modes excites a broad spectrum of small-scale modes, generating tearing mode turbulence. The spectrum of such turbulence is of interest since it is relevant to the small-scale back-reaction on the large-scale field. The turbulence we discuss here differs from traditional MHD turbulence mainly in two aspects. One is the existence of many linearly stable small-scale modes which cause an effective damping during the energy cascade. The other is the scale-independent anisotropy induced by the large-scale modes tilting the sheared background field, as opposed to the scale-dependent anisotropy frequently encountered in traditional critically balanced turbulence theories. Due to these two differences, the energy spectrum deviates from a simple power law and takes the form of a power law multiplied by an exponential falloff. Numerical simulations are carried out using visco-resistive MHD equations to verify our theoretical predictions, and a reasonable agreement is found between the numerical results and our model.",
author = "Di Hu and Amitava Bhattacharjee and Huang, {Yi Min}",
note = "Funding Information: This work is partially supported by the National Natural Science Foundation of China under Grant No. 11261140326 and the China Scholarship Council. A. Bhattacharjee and Y.-M. Huang acknowledge support from NSF Grants AGS-1338944 and AGS-1460169, and DOE Grant DE-SC0016470. Simulations were performed with supercomputers at the National Energy Research Scientific Computing Center. D. Hu publishes this paper while working in ITER Organization. ITER is a Nuclear Facility INB-174. The views and opinions expressed herein do not necessarily reflect those of the ITER Organization. Funding Information: The authors thank P. H. Diamond, X.-G. Wang, H.-S. Xie, and L. Shi for the fruitful discussion. This work is partially supported by the National Natural Science Foundation of China under Grant No. 11261140326 and the China Scholarship Council. A. Bhattacharjee and Y.-M. Huang acknowledge support from NSF Grants AGS-1338944 and AGS-1460169, and DOE Grant DE-SC0016470. Simulations were performed with supercomputers at the National Energy Research Scientific Computing Center. D. Hu publishes this paper while working in ITER Organization. ITER is a Nuclear Facility INB-174. The views and opinions expressed herein do not necessarily reflect those of the ITER Organization. Publisher Copyright: {\textcopyright} 2018 Author(s).",
year = "2018",
month = jun,
day = "1",
doi = "10.1063/1.5022292",
language = "English (US)",
volume = "25",
journal = "Physics of Plasmas",
issn = "1070-664X",
publisher = "American Institute of Physics Publising LLC",
number = "6",
}