Thermodynamic approach to the interpretation of self-consistent pressure profiles in a tokamak

Dyabilin, K. S.; Razumova, K. A.

doi:10.1134/s1063780x15090044

Cited by 11 publications

(22 citation statements)

References 15 publications

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“…Note that in [18] the density pump-out effect is explained by the self-consistency of pressure profile. As in our experiments, the calculated absolute density change n ∆ rises with density till the critical value and then decreases, also n ∆ increases with the ECRH power.…”

mentioning

confidence: 99%

Experimental study of density pump-out effect with on-axis electron cyclotron resonance heating at the T-10 tokamak

Андреев

Borschegovskij

Chistyakov

et al. 2016

Plasma Phys. Control. Fusion

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The results of T-10 experiments on the 'density pump-out' effect research, i.e. the escape of particles from the zone of on-axis electron cyclotron resonance heating (ECRH) to the plasma periphery are presented. The dependences of the pump-out on the central chord line-averaged plasma density n, total plasma current and the ECRH power were found. The influence of the gas influx intensity and the conditions of the chamber wall and limiter on the above-mentioned effect is also investigated. It is shown that this effect increases with the growth of the n up to a certain critical value n cr , after which the escape of particles from the zone of on-axis ECRH decreases. This critical density n cr increases with the increase of the total plasma current and the ECRH power.

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mentioning

confidence: 99%

Experimental study of density pump-out effect with on-axis electron cyclotron resonance heating at the T-10 tokamak

Андреев

Borschegovskij

Chistyakov

et al. 2016

Plasma Phys. Control. Fusion

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“…Following Dyabilin and Razumova [8,9], the energy balance equation was obtained, and the necessary transport coefficients were empirically found, which were determined only by external parameters and independent of the internal plasma parameters, such as temperature, density, effective charge, and so forth.…”

Section: Discussionmentioning

confidence: 99%

“…We qualitatively explained the processes with internal barriers, but for quantitative calculations, the correct theory, such as that created by Dyabilin for a self-consistent pressure profile, is desirable. In [8,9], the functional was minimized only for diamagnetic currents because the experiment showed that the self-consistent pressure profile was independent of the longitudinal current density profile. To solve the problem with barriers, it is necessary to do similar work for longitudinal currents.…”

Section: Discussionmentioning

confidence: 99%

“…In [8,9], Dyabilin and Razumova considered the magnetic confinement system in general and obtained pressure profiles that depended on some parameter γ. Comparison of these profiles with those measured experimentally in tokamak experiments shows with good accuracy that for tokamaks L q γ ∝ , θ depends on external discharge parameters and the plasma stored energy:…”

Section: Self-organizationmentioning

confidence: 99%

“…So, we need to find such an energy balance equation that can support the normalized pressure profile p N (ρ). In [8,9], Dyabilin and Razumova suggested using a Smoluchowski-like equation, which can maintain a given self-organized pressure profile.…”

Section: Introductionmentioning

confidence: 99%

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Explanation of Experimentally Observed Phenomena in Hot Tokamak Plasmas from the Nonequilibrium Thermodynamics Position

Razumova

Андреев

Kasyanova

et al. 2019

Entropy

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In studying the hot plasma behavior in tokamak devices, the classical approach for collisional processes is traditionally used. This approach leaves unexplained a number of phenomena observed in experiments related to plasma energy confinement. Further, it is well known that tokamak plasma is always turbulent and self-organized. In the present paper, we show that the nonequilibrium thermodynamics approach allows us to explain many observed dependences and paradoxes; for example, puffing of impurities results in confinement improvement if zones of plasma cooling by impurities and additional plasma heating are not overlapped. The analysis of the experimental results shows the important role of radiation losses at the plasma edge in the processes determining its total energy confinement. It is shown that the generally accepted dependence of energy confinement on plasma density is not quite adequate because it is a consequence of dependence on radiation losses. The phenomenon of the appearance of internal transport barriers and magnetic islands can also be explained by plasma self-organization. The obtained results may be taken into account when calculating the operation of a future tokamak reactor.

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Features of self-organized plasma physics in tokamaks

Razumova¹

2017

Plasma Phys. Control. Fusion

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The history of investigations the role of self-organization processes in tokamak plasma confinement is presented. It was experimentally shown that the normalized pressure profile is the same for different tokamaks. Instead of the conventional Fick equation, where the thermal flux is proportional to a pressure gradient, processes in the plasma are well described by the Dyabilanin's energy balance equation, in which the heat flux is proportional to the difference of normalized gradients for self-consistent and real pressure profiles. The transport coefficient depends on the values of heat flux, which compensates distortion of the pressure profile with external impacts. Radiative cooling of the plasma edge decreases the heat flux and improves the confinement.

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Thermodynamic approach to the interpretation of self-consistent pressure profiles in a tokamak

Cited by 11 publications

References 15 publications

Experimental study of density pump-out effect with on-axis electron cyclotron resonance heating at the T-10 tokamak

Experimental study of density pump-out effect with on-axis electron cyclotron resonance heating at the T-10 tokamak

Explanation of Experimentally Observed Phenomena in Hot Tokamak Plasmas from the Nonequilibrium Thermodynamics Position

Features of self-organized plasma physics in tokamaks

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