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 Kim and Diamond [Phys. Rev. Lett. 90, 185006 (2003)] and Malkov and Diamond [Phys. Plasmas 16, 012504 (2009)], which nonlinearly couple the evolving temperature gradient, micro-turbulence, and a mesoscale flow; and in the extension of Zhu et al. [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.
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June 2014
Research Article|
June 17 2014
Transitions to improved confinement regimes induced by changes in heating in zero-dimensional models for tokamak plasmas
H. Zhu;
H. Zhu
1Centre for Fusion, Space and Astrophysics, Department of Physics,
University of Warwick
, Coventry CV4 7AL, United Kingdom
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S. C. Chapman;
S. C. Chapman
1Centre for Fusion, Space and Astrophysics, Department of Physics,
University of Warwick
, Coventry CV4 7AL, United Kingdom
2
Max Planck Institute for the Physics of Complex Systems
, Dresden, Germany
3Department of Mathematics and Statistics,
University of Tromso
, Tromso, Norway
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R. O. Dendy;
R. O. Dendy
1Centre for Fusion, Space and Astrophysics, Department of Physics,
University of Warwick
, Coventry CV4 7AL, United Kingdom
4
Euratom/CCFE Fusion Association, Culham Science Centre
, Abingdon, Oxfordshire OX14 3DB, United Kingdom
5Itoh Research Center for Plasma Turbulence,
Kyushu University
, Kasuga 816-8580, Japan
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K. Itoh
K. Itoh
5Itoh Research Center for Plasma Turbulence,
Kyushu University
, Kasuga 816-8580, Japan
6
National Institute for Fusion Science
, Toki 509-5292, Japan
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Phys. Plasmas 21, 062307 (2014)
Article history
Received:
March 03 2014
Accepted:
May 02 2014
Citation
H. Zhu, S. C. Chapman, R. O. Dendy, K. Itoh; Transitions to improved confinement regimes induced by changes in heating in zero-dimensional models for tokamak plasmas. Phys. Plasmas 1 June 2014; 21 (6): 062307. https://doi.org/10.1063/1.4884126
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