On Nonlocal Energy Transfer via Zonal Flow in the Dimits Shift release_zra6ptkbqzcj3d5c6pyvdbiuk4

by Denis A. St-Onge

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abstracts[] {'sha1': 'e344aa1d20805d21e0846a1d0b9579759131f591', 'content': 'The two-dimensional Terry-Horton equation is shown to exhibit the Dimits\nshift when suitably modified to capture both the nonlinear enhancement of\nzonal/drift-wave interactions and the existence of residual Rosenbluth-Hinton\nstates. This phenomenon persists through numerous simplifications of the\nequation, including a quasilinear approximation as well as a four-mode\ntruncation. It is shown that the use of an appropriate adiabatic electron\nresponse, for which the electrons are not affected by the flux-averaged\npotential, results in an E×B\nnonlinearity that can efficiently transfer energy nonlocally to length scales\non the order of the sound radius. The size of the shift for the nonlinear\nsystem is heuristically calculated and found to be in excellent agreement with\nnumerical solutions. The existence of the Dimits shift for this system is then\nunderstood as an ability of the unstable primary modes to efficiently couple to\nstable modes at smaller scales, and the shift ends when these stable modes\neventually destabilize as the density gradient is increased. This nonlocal\nmechanism of energy transfer is argued to be generically important even for\nmore physically complete systems.', 'mimetype': 'text/plain', 'lang': 'en'}
{'sha1': '9b1e6f6a1cfbb5327beb3aa431f1e0ac4ab3d5df', 'content': 'The two-dimensional Terry-Horton equation is shown to exhibit the Dimits\nshift when suitably modified to capture both the nonlinear enhancement of\nzonal/drift-wave interactions and the existence of residual Rosenbluth-Hinton\nstates. This phenomenon persists through numerous simplifications of the\nequation, including a quasilinear approximation as well as a four-mode\ntruncation. It is shown that the use of an appropriate adiabatic electron\nresponse, for which the electrons are not affected by the flux-averaged\npotential, results in an $\\boldsymbol{E}\\boldsymbol{\\times}\\boldsymbol{B}$\nnonlinearity that can efficiently transfer energy nonlocally to length scales\non the order of the sound radius. The size of the shift for the nonlinear\nsystem is heuristically calculated and found to be in excellent agreement with\nnumerical solutions. The existence of the Dimits shift for this system is then\nunderstood as an ability of the unstable primary modes to efficiently couple to\nstable modes at smaller scales, and the shift ends when these stable modes\neventually destabilize as the density gradient is increased. This nonlocal\nmechanism of energy transfer is argued to be generically important even for\nmore physically complete systems.', 'mimetype': 'application/x-latex', 'lang': 'en'}
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language en
license_slug ARXIV-1.0
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release_date 2017-04-19
release_stage submitted
release_type article
release_year 2017
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title On Nonlocal Energy Transfer via Zonal Flow in the Dimits Shift
version v2
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work_id 36isav4sfrcupa4kyo3ruytdvi
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arxiv.base_id 1704.05406
arxiv.categories ['physics.plasm-ph']
arxiv.comments 28 pages, 7 figures, 4 movies
superceded True