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Transitions to improved confinement regimes induced by changes in heating in zero-dimensional models for tokamak plasmas
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Zhu, Hao, Chapman, Sandra C., Dendy, R. O. and Itoh, Kimitaka (2014) Transitions to improved confinement regimes induced by changes in heating in zero-dimensional models for tokamak plasmas. Physics of Plasmas, Volume 21 (Number 6). Article number 062307. doi:10.1063/1.4884126
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Official URL: http://dx.doi.org/10.1063/1.4884126
Abstract
It is shown that rapid substantial changes in heating rate can induce transitions to improved energy confinement regimes in zero-dimensional models for tokamak plasma phenomenology. We examine for the first time the effect of step changes in heating rate in the models of E-J.Kim and P.H.Diamond, Phys.Rev.Lett. 90, 185006 (2003) and M.A.Malkov and P.H.Diamond, Phys.Plasmas 16, 012504 (2009) which nonlinearly couple the evolving temperature gradient, micro-turbulence and a mesoscale flow; and in the extension of H.Zhu, S.C.Chapman and R.O.Dendy, Phys.Plasmas 20, 042302 (2013), which couples to a second mesoscale flow component. The temperature gradient rises, as does the confinement time defined by analogy with the fusion context, while micro-turbulence is suppressed. This outcome is robust against variation of heating rise time and against introduction of an additional variable into the model. It is also demonstrated that oscillating changes in heating rate can drive the level of micro-turbulence through a period-doubling path to chaos, where the amplitude of the oscillatory component of the heating rate is the control parameter.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QC Physics | ||||||||
| Divisions: | Faculty of Science > Physics | ||||||||
| Library of Congress Subject Headings (LCSH): | Tokamaks -- Mathematical models, Heat -- Transmission -- Mathematical models | ||||||||
| Journal or Publication Title: | Physics of Plasmas | ||||||||
| Publisher: | American Institute of Physics | ||||||||
| ISSN: | 1070-664X | ||||||||
| Official Date: | 17 June 2014 | ||||||||
| Dates: |
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| Volume: | Volume 21 | ||||||||
| Number: | Number 6 | ||||||||
| Number of Pages: | 23 | ||||||||
| Article Number: | Article number 062307 | ||||||||
| DOI: | 10.1063/1.4884126 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Funder: | Nihon Gakujutsu ShinkÅkai [Japan Society for the Promotion of Science] (NGS), Engineering and Physical Sciences Research Council (EPSRC), Research Councils UK (RCUK), European Commission (EC) | ||||||||
| Grant number: | 21224014 (JSPS), 23244113 (JSPS), EP/I501045 (EPSRC) |
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