Effect of entropy on anomalous transport in electron-temperature-gradient-modes

Khan, Majid; Iqbal, Javed; Haq, Anwar Ul

doi:10.1063/1.4874295

Cited by 8 publications

(5 citation statements)

References 15 publications

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“…∂ t = ω ci . The drift velocity for the ion due different force in the plasma can be written as the superposition due to the corresponding drifts [32].…”

Section: Basic Formalismmentioning

confidence: 99%

Nonlinearity of ion temperature gradient mode with entropy drift

Khan¹,

Ullah²,

Haq³

et al. 2023

Phys. Scr.

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We investigated the role of entropy in linear and nonlinear structures and obtained the linear dispersion relation from the set of raginskii’s ion transport equations, demonstrating that entropy has an effect on the mode’s linear features. We also discovered that the system’s entropy is responsible for nonlinear structure changes such as compression to refractive types, as well as other features influenced by it and other plasma parameters such as dust density, charge number and mass, and so on. Our observations are very useful for space plasma observations such as interstellar space, planetary rings, and laboratory plasma because in the mentioned plasmas there is a lot of entropy due to the temperature differences.

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“…∂ t = ω ci . The drift velocity for the ion due different force in the plasma can be written as the superposition due to the corresponding drifts [32].…”

Section: Basic Formalismmentioning

confidence: 99%

Nonlinearity of ion temperature gradient mode with entropy drift

Khan¹,

Ullah²,

Haq³

et al. 2023

Phys. Scr.

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“…In equilibrium, the gradients of quantities are taken along the x-axis, and our model equations are similar to [30] for ions. If we combine the equation of motion and the TdS type equation, we get,…”

Section: Derivation Of Entropy Distribution Function and Entropy Grad...mentioning

confidence: 99%

“…Recently, the effect of entropy on the electron temper ature gradient modes has been calculated [30], and it is nice to be able to address this effect for ions now, as it is ions which make the main contribution to fusion. In this paper, two new parameters are defined-i.e.…”

Section: Introductionmentioning

confidence: 99%

Effect of entropy on anomalous transport in ITG-modes of magneto-plasma

et al. 2017

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The ideal gas equation and ( / ) ρ = S c P log v (where S is entropy, P is pressure and ρ is the mass density) define the interconnection of entropy with the temperature and density of plasma. Therefore, different phenomena relating to plasma and entropy need to be investigated. By employing the Braginskii transport equations for a nonuniform electron-ion magnetoplasma, two new parameters-the entropy distribution function and the entropy gradient drift-are defined, a new dispersion relation is obtained, and the dependence of anomalous transport on entropy is also proved. Some results, like monotonicity, the entropy principle and the second law of thermodynamics, are proved with a new definition of entropy. This work will open new horizons in fusion processes, not only by controlling entropy in tokamak plasmas-particularly in the pedestal regions of the H-mode and space plasmas-but also in engineering sciences.

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“…Transport anomalies were detected using ETG mode [22,32]. Entropy was found experimentally in 1989 [35]. Shear viscosity is based on entropy density [36].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Entropy-dependent solitons in ETG-driven magneto plasma by Variational Iteration Method

Abbas,

Haq,

Ayub

et al. 2022

VFAST trans. math.

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Nowadays, the discovery of the link between entropy and plasma density and temperature opens up new avenues for mathematicians and researchers to examine alternative plasma models in terms of entropy. The linear dispersion relation and KdV equation are created after the entropy drift is taken into account in the ETG mode. In addition, the Variational Iteration Technique (VIM) is used to determine the problem’s analytical solutions. Involving the Langrange multiplier also helps to accelerate computation and lower its cost. Then, it is shown that in ETG mode, entropy impacts both the breadth and amplitude of rarefactive solitons, as well as the impact of inhomogeneity drift and the magnetic ﬁeld on the conﬁguration of solitons. In this instance, however, only the rarefactive solitons are present. Since introducing entropy to the system might alter the previous plasma ﬁndings, this study is new. Finally, the current approach will be applied to the entropy-based in magnetically restrained plasmas, solitary waves can be observed. The graphical ﬁndings are also provided using Maple-18.

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Effect of entropy on anomalous transport in electron-temperature-gradient-modes

Cited by 8 publications

References 15 publications

Nonlinearity of ion temperature gradient mode with entropy drift

Nonlinearity of ion temperature gradient mode with entropy drift

Effect of entropy on anomalous transport in ITG-modes of magneto-plasma

Analysis of Entropy-dependent solitons in ETG-driven magneto plasma by Variational Iteration Method

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