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 explored in this work. We observe the scenario where the nonlinear interaction of overlapping largescale modes excites a broad spectrum of smallscale modes, generating tearing mode turbulence. The spectrum of such turbulence is of interest since it is relevant to the smallscale backreaction on the largescale field. The turbulence we report on here differs from traditional MHD turbulence mainly in two aspects. One is the existence of many linearly stable smallscale modes which cause an effective damping during the energy cascade. The other is the scaleindependent anisotropy induced by the largescale modes tilting the sheared background field, as opposed to the scaledependent 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 viscoresistive MHD equations to verify our theoretical predictions, and a reasonable agreement is found between the numerical results and our model.
 Authors:

 Peking Univ., Beijing (China); ITER Organization, St. Paul Lez Durance (France); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Princeton Univ., NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Publication Date:
 Research Org.:
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Princeton Univ., NJ (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC); National Natural Science Foundation of China (NNSFC); China Scholarship Council
 OSTI Identifier:
 1543854
 Grant/Contract Number:
 SC0016470
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 25; Journal Issue: 6; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Hu, Di, Bhattacharjee, Amitava, and Huang, YiMin. Energy spectrum of tearing mode turbulence in sheared background field. United States: N. p., 2018.
Web. doi:10.1063/1.5022292.
Hu, Di, Bhattacharjee, Amitava, & Huang, YiMin. Energy spectrum of tearing mode turbulence in sheared background field. United States. doi:10.1063/1.5022292.
Hu, Di, Bhattacharjee, Amitava, and Huang, YiMin. Wed .
"Energy spectrum of tearing mode turbulence in sheared background field". United States. doi:10.1063/1.5022292. https://www.osti.gov/servlets/purl/1543854.
@article{osti_1543854,
title = {Energy spectrum of tearing mode turbulence in sheared background field},
author = {Hu, Di and Bhattacharjee, Amitava and Huang, YiMin},
abstractNote = {The energy spectrum of tearing mode turbulence in a sheared background magnetic field is explored in this work. We observe the scenario where the nonlinear interaction of overlapping largescale modes excites a broad spectrum of smallscale modes, generating tearing mode turbulence. The spectrum of such turbulence is of interest since it is relevant to the smallscale backreaction on the largescale field. The turbulence we report on here differs from traditional MHD turbulence mainly in two aspects. One is the existence of many linearly stable smallscale modes which cause an effective damping during the energy cascade. The other is the scaleindependent anisotropy induced by the largescale modes tilting the sheared background field, as opposed to the scaledependent 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 viscoresistive MHD equations to verify our theoretical predictions, and a reasonable agreement is found between the numerical results and our model.},
doi = {10.1063/1.5022292},
journal = {Physics of Plasmas},
number = 6,
volume = 25,
place = {United States},
year = {2018},
month = {6}
}
Figures / Tables:
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