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H-mode: Difference between revisions
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When a magnetically confined plasma is heated strongly and a threshold heating power level is exceeded, it may spontaneously transition from a low confinement (or L-mode) state to a high confinement (or H-mode) state. | When a magnetically confined plasma is heated strongly and a threshold heating power level is exceeded, it may spontaneously transition from a low confinement (or L-mode) state to a high confinement (or H-mode) state. | ||
<ref>F. Wagner et al, ''Development of an Edge Transport Barrier at the H-Mode Transition of ASDEX'', [ | <ref>F. Wagner et al, ''Development of an Edge Transport Barrier at the H-Mode Transition of ASDEX'', [[doi:10.1103/PhysRevLett.53.1453|Phys. Rev. Lett. '''53''' (1984) 1453 - 1456]]</ref> | ||
In the H-mode, the [[Energy confinement time|energy confinement time]] is significantly enhanced, i.e., typically by a factor of 2 or more. | In the H-mode, the [[Energy confinement time|energy confinement time]] is significantly enhanced, i.e., typically by a factor of 2 or more. | ||
<ref>M. Keilhacker, ''H-mode confinement in tokamaks'', [[doi:10.1088/0741-3335/29/10A/320|Plasma Phys. Control. Fusion '''29''' (1987) 1401-1413]]</ref> | <ref>M. Keilhacker, ''H-mode confinement in tokamaks'', [[doi:10.1088/0741-3335/29/10A/320|Plasma Phys. Control. Fusion '''29''' (1987) 1401-1413]]</ref> | ||
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A variety of mechanisms can give rise to sheared flow, or favour its growth: | A variety of mechanisms can give rise to sheared flow, or favour its growth: | ||
* The main process for sheared flow generation is generation by the turbulence itself via the [[Reynolds stress]] mechanism. Simply put, transport generated by the fluctuations produces a radial current ''j<sub>r</sub>'' that spins up the plasma via the ''j'' × ''B'' [[:Wikipedia:Lorentz force|Lorentz force]]. <ref>P.H. Diamond and Y.-B. Kim, ''Theory of mean poloidal flow generation by turbulence'', [[doi:10.1063/1.859681|Phys. Fluids B '''3''' (1991) 1626]]</ref> <ref>S.B. Korsholm et al, ''Reynolds stress and shear flow generation'', [[doi:10.1088/0741-3335/43/10/308|Plasma Phys. Control. Fusion '''43''' (2001) 1377-1395]]</ref> | * The main process for sheared flow generation is generation by the turbulence itself via the [[Reynolds stress]] mechanism. Simply put, transport generated by the fluctuations produces a radial current ''j<sub>r</sub>'' that spins up the plasma via the ''j'' × ''B'' [[:Wikipedia:Lorentz force|Lorentz force]]. <ref>P.H. Diamond and Y.-B. Kim, ''Theory of mean poloidal flow generation by turbulence'', [[doi:10.1063/1.859681|Phys. Fluids B '''3''' (1991) 1626]]</ref> <ref>S.B. Korsholm et al, ''Reynolds stress and shear flow generation'', [[doi:10.1088/0741-3335/43/10/308|Plasma Phys. Control. Fusion '''43''' (2001) 1377-1395]]</ref> | ||
* This radial current can also actively be produced by electrode biasing. <ref>R.J. Taylor et al, ''H-mode behavior induced by cross-field currents in a tokamak'', [ | * This radial current can also actively be produced by electrode biasing. <ref>R.J. Taylor et al, ''H-mode behavior induced by cross-field currents in a tokamak'', [[doi:10.1103/PhysRevLett.63.2365|Phys. Rev. Lett. '''63''' (1989) 2365-2368]]</ref> | ||
* Sheared flow may be favoured by reduced viscous damping, which might explain the dependence on rational surfaces observed in the stellarator W7-AS. <ref>H. Wobig and J. Kisslinger, ''Viscous damping of rotation in Wendelstein 7-AS'', [[doi:10.1088/0741-3335/42/7/306|Plasma Phys. Control. Fusion '''42''' (2000) 823-841]]</ref> | * Sheared flow may be favoured by reduced viscous damping, which might explain the dependence on rational surfaces observed in the stellarator W7-AS. <ref>H. Wobig and J. Kisslinger, ''Viscous damping of rotation in Wendelstein 7-AS'', [[doi:10.1088/0741-3335/42/7/306|Plasma Phys. Control. Fusion '''42''' (2000) 823-841]]</ref> | ||
* Sheared flow can also be generated by external momentum input. | * Sheared flow can also be generated by external momentum input. | ||
The details of the feedback mechanism between turbulence and sheared flow are the subject of ongoing studies. | The details of the feedback mechanism between turbulence and sheared flow are the subject of ongoing studies. | ||
<ref>P.H. Diamond et al, ''Self-Regulating Shear Flow Turbulence: A Paradigm for the L to H Transition'', [ | <ref>P.H. Diamond et al, ''Self-Regulating Shear Flow Turbulence: A Paradigm for the L to H Transition'', [[doi:10.1103/PhysRevLett.72.2565|Phys. Rev. Lett. '''72''' (1994) 2565 - 2568]]</ref> | ||
<ref>M.A. Malkov and P.H. Diamond, ''Weak hysteresis in a simplified model of the L-H transition'', [ | <ref>M.A. Malkov and P.H. Diamond, ''Weak hysteresis in a simplified model of the L-H transition'', [[doi:10.1063/1.3062834|Phys. Plasmas '''16''' (2009) 012504]]</ref> | ||
In summary, the H-mode is the consequence of a self-organizing process in the plasma. | In summary, the H-mode is the consequence of a self-organizing process in the plasma. | ||