Effect of entropy on soliton profile in ITG driven magneto-plasma

Khan, Manoranjan; Iqbal, Javed

doi:10.1063/1.4989895

Cited by 6 publications

(4 citation statements)

References 39 publications

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“…Now, comparing equation ( 21) with (17), we finally obtain In [51,52], the authors studied the soliton formation and effects of entropy on soliton profile in ITG mode by HPM technique.…”

Section: Hpm Techniquementioning

confidence: 99%

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Soliton formation in electron-temperature-gradient-driven magnetoplasma

Khan¹,

Iqbal²

2017

Plasma Sci. Technol.

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Electron-temperature-gradient (ETG)-driven solitons are studied in a plasma. We derive the linear dispersion relation and an admitted solitary wave solution Korteweg-de Vries-type equation (KdV) for the ETG mode in the nonlinear regime by using the Braginskii model and a transformation. It is found that the ETG mode supports only rarefactive solitons. It is also observed that the ratio of electron-to-ion temperature t = T T, e i the ratio of gradient scale lengths h = L L , n T e and the magnetic field B affect both the amplitude and width of a soliton. It is found that the soliton profile changes with variation in these parameters. We apply the homotopy perturbation method to the derived KdV equation. It is found this method is computationally attractive and the results are very impressive. This work may be useful to study the low electrostatic modes in inhomogeneous electron-ion plasma with density and ETG gradients. For illustration, the model has been applied to tokamak plasma.

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“…Now, comparing equation ( 21) with (17), we finally obtain In [51,52], the authors studied the soliton formation and effects of entropy on soliton profile in ITG mode by HPM technique.…”

Section: Hpm Techniquementioning

confidence: 99%

“…desired solution of our derived KdV equation. It should be noted that equation(22) is the same as that used by[51,52], where = a…”

mentioning

confidence: 99%

Soliton formation in electron-temperature-gradient-driven magnetoplasma

Khan¹,

Iqbal²

2017

Plasma Sci. Technol.

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“…These modes are also studied in toroidal geometry, including the curvature of the magnetic field and impurity effects in plasma by [26,27]. Many writers have looked into the entropy effects on the drift of the plasma mode [28][29][30][31].…”

Section: Introductionmentioning

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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“…The entropy mode can accommodate an abnormal heat flux [13,23]. Entropy has previously handled configurationally travelling solitary waves, solitons, and other topological flaws [24,26]. According to the kinetic model [25], radio-frequency heating produces entropy in plasma.…”

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 soliton profile in ITG driven magneto-plasma

Cited by 6 publications

References 39 publications

Soliton formation in electron-temperature-gradient-driven magnetoplasma

Soliton formation in electron-temperature-gradient-driven magnetoplasma

Nonlinearity of ion temperature gradient mode with entropy drift

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

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