Experimental observation of the non-diffusive avalanche-like electron heat transport events and their dynamical interaction with the shear flow structure

Choi, M.; Jhang, Hogun; Kwon, Jae-Min; Chung, Jae-Hoon; Woo, M.H.; Qi, Lei; Ko, Sehoon; Hahm, Tae Soo; Park, Hyeon K.; Kang, Jisung; Lee, Jaehyun; Kim, M.; Yun, Gunsu

doi:10.1088/1741-4326/ab247d

Cited by 31 publications

(45 citation statements)

References 53 publications

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“…Concerning the units, "a" is the tokamak minor radius, "c s " is the ion acoustic speed, and ρ is the dimensionless radial coordinate. plasma to generate staircase structures proves to be an established fact [3,4], it has been confirmed computationally using different numerical codes [11][12][13][14][15][16]; discussed theoretically, especially invoking flux-gradient time delay, flux landscape bistability or wave trapping [17][18][19][20][21][22]; and observed experimentally other than on Tore Supra also on DIII-D [16]; KSTAR [23]; and lately in HL-2A L-mode discharges [24].…”

Section: Introductionmentioning

confidence: 70%

Self-consistent model of the plasma staircase and nonlinear Schrödinger equation with subquadratic power nonlinearity

2021

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Section: Introductionmentioning

confidence: 70%

Self-consistent model of the plasma staircase and nonlinear Schrödinger equation with subquadratic power nonlinearity

2021

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“…[1]−a rare, classic circumstance when the discovery is made au bout de sa plume, if the celebrated art phrase due to François Arago [10] is appropriate here. By the time this paper is being written, the natural tendency of L-mode plasma to generate staircase structures proves to be an established fact [3,4], it has been confirmed computationally using different numerical codes [11][12][13][14][15][16]; discussed theoretically−especially invoking flux-gradient time delay, flux landscape bistability or wave trapping [17][18][19][20][21][22]; and observed experimentally other than on Tore Supra also on DIII-D [16]; KSTAR [23]; and lately in HL-2A L-mode discharges [24].…”

Section: Introductionmentioning

confidence: 90%

A self-consistent model of the plasma staircase and nonlinear Schrödinger equation with subquadratic power nonlinearity

Milovanov,

Rasmussen,

Dif-Pradalier

2021

Preprint

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A new basis has been found for the theory of self-organization of transport avalanches and jet zonal flows in L-mode tokamak plasma, the so-called "plasma staircase" (Dif-Pradalier et al., Phys. Rev. E, 82, 025401(R) ( 2010)). The jet zonal flows are considered as a wave packet of coupled nonlinear oscillators characterized by a complex time-and wave-number dependent wave function; in a meanfield approximation this function is argued to obey a discrete nonlinear Schrödinger equation with subquadratic power nonlinearity. It is shown that the subquadratic power leads directly to a white Lévy noise, and to a Lévy-fractional Fokker-Planck equation for radial transport of test particles (via wave-particle interactions). In a self-consistent description the avalanches, which are driven by the white Lévy noise, interact with the jet zonal flows, which form a system of semi-permeable barriers to radial transport. We argue that the plasma staircase saturates at a state of marginal stability, in whose vicinity the avalanches undergo an ever-pursuing localization-delocalization transition. At the transition point, the event-size distribution of the avalanches is found to be a power-law wτ (∆n) ∼ ∆n −τ , with the drop-off exponent τ = ( √ 17 + 1)/2 2.56. This value is an exact result of the self-consistent model. The edge behavior bears signatures enabling to associate it with the dynamics of a self-organized critical (SOC) state. At the same time the critical exponents, pertaining to this state, are found to be inconsistent with classic models of avalanche transport based on sand-piles and their generalizations, suggesting that the coupled avalanche-jet zonal flow system operates on different organizing principles. The results obtained have been validated in a numerical simulation of the plasma staircase using flux-driven gyrokinetic code for L-mode Tore-Supra plasma.

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“…radius and time. One clearly observes the radially oscillating zonal pattern known as 'staircase' [13,14,15,19,20,21,27,28,29,30,31,32,33]. The time-trace of electron .…”

Section: Response-time Comparison With Gyrokinetic Simulations Of Cte...mentioning

confidence: 99%

Limit Cycle Oscillations, response time and the time-dependent solution to the Lotka-Volterra Predator-Prey model

Leconte,

Masson,

2021

Preprint

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In this work, the time-dependent solution for the Lotka-Volterra Predator-Prey model is derived with the help of the Lambert W function. This allows an exact analytical expression for the period of the associated limit-cycle oscillations (LCO), and also for the response time between predator and prey population. These results are applied to the predator-prey interaction of zonal density corrugations and turbulent particle flux in gyrokinetic simulations of collisionless trapped-electron model (CTEM) turbulence. In the turbulence simulations, the response time is shown to increase when approaching the linear threshold, and the same trend is observed in the Lotka-Volterra model.

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Experimental observation of the non-diffusive avalanche-like electron heat transport events and their dynamical interaction with the shear flow structure

Cited by 31 publications

References 53 publications

Self-consistent model of the plasma staircase and nonlinear Schrödinger equation with subquadratic power nonlinearity

Self-consistent model of the plasma staircase and nonlinear Schrödinger equation with subquadratic power nonlinearity

A self-consistent model of the plasma staircase and nonlinear Schrödinger equation with subquadratic power nonlinearity

Limit Cycle Oscillations, response time and the time-dependent solution to the Lotka-Volterra Predator-Prey model

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