Propagation of Bernstein waves in weakly relativistic pair ion plasma

Ali, Mohsen; Khan, W. A.; Ehsan, Zahida

doi:10.1063/1.5114886

Cited by 5 publications

(8 citation statements)

References 38 publications

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“…Classical non-interacting particles at thermal equilibrium can be described by the Maxwell-Boltzmann distribution whereas to include the relativistic effects we need to use the Maxwell-Jüttner equilibrium distribution function (MJDF) (Buti 1963;Montgomery & Tidman 1964;Georgiou 1996;Ali et al 2019;Khan et al 2020b,c), given as…”

Section: Parallel Propagating Waves In Magnetized Relativistic Plasmamentioning

confidence: 99%

“…and (2.22) where z = p/mc and ω pe , ω ce are the plasma and cyclotron frequency of electrons, respectively. The integrals involved in (2.21), (2.22) and (3.1) cannot be done analytically, so these are computed numerically using the trapezoidal rule (Buti 1963;Evans 1993;Georgiou 1996;Burden & Faires 1997;Yang 2014;Ali et al 2019;Khan et al 2020b,c).…”

Section: Parallel Propagating Waves In Magnetized Relativistic Plasmamentioning

confidence: 99%

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Propagation characteristics of parallel propagating waves in a relativistic magnetized electron plasma

et al. 2022

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Propagation characteristics (propagation regions and cutoffs) of parallel propagating modes (Langmuir, right- and left-handed circularly polarized waves) are studied for relativistic, weakly relativistic and non-relativistic magnetized electron plasma using the kinetic model. The dispersion relation for parallel propagating modes in relativistic electron plasma is investigated by employing the Maxwell–Boltzmann–J üttner distribution function and the final dispersion relation obtained is more general since no approximation is used. As the integrals in the relativistic dispersion relation cannot be done analytically so these integrals have been solved with the numerical quadrature approach. For $\eta \leq 1$ (ratio of rest mass energy to thermal energy), the increase in the effective mass of electrons will result in a change in the mass-dependent quantities (plasma frequency, electron cyclotron frequency, electron sound velocity, etc.) which in turn significantly affect the propagation characteristics of parallel propagating modes. It is observed that the propagation region for these parallel propagating modes decreases and cutoff points are shifted to lower values when we consider a relativistic plasma environment. Moreover, a low-density and high-temperature plasma is more transparent as compared with a high-density and low-temperature plasma for these modes.

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Section: Parallel Propagating Waves In Magnetized Relativistic Plasmamentioning

confidence: 99%

Section: Parallel Propagating Waves In Magnetized Relativistic Plasmamentioning

confidence: 99%

Propagation characteristics of parallel propagating waves in a relativistic magnetized electron plasma

et al. 2022

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“…Here e, n 0 , Ω, f 0 , n and p F q [(a 1 , .....a p ), (b 1 , .....b q ), x] are the electron charge, equilibrium number density, relativistic cyclotron frequency, equilibrium distribution function, the harmonic number and a generalized Hyper-geometric function respectively [2,21,27,32].…”

Section: The Generalized Expression For the Ordinary Wavesmentioning

confidence: 99%

“…In order to observe the magnetic field effects on these waves, we use the kinetic model and these effects become significant when we include higher harmonics of the cyclotron frequency. The ordinary mode (O-mode) is an important wave for cyclotron heating of the magnetically confined plasma and for ionospheric heating experiments [16][17][18][19][20][21][22]. These waves are strongly absorbed in hot plasma, so they are emitted as blackbody radiations and can be used to measure the local electron temperature in a tokamak plasma [23].…”

Section: Introductionmentioning

confidence: 99%

“…To complete the analysis we will choose the value of η = mc 2 kBTe (ratio of the rest mass energy to the thermal ) that will decide whether we are in a relativistic (η ≤ 1), weakly relativistic (η > 1) or non-relativistic (η > > 1) environment [2,21]. As we are trying to understand the dependence of the harmonic structure of O-mode on the relativistic momentum and propagation of the wave at each harmonic of the cyclotron frequency, we use the generalized expression for the O-mode derived by A Kalsoom et al [27] leads to an infinite sum of terms, each of which has a Bessel function which contains momentum as its argument and that is integrated over the momentum space .…”

Section: Introductionmentioning

confidence: 99%

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Characteristics of ordinary mode in fully relativistic electron plasma

Khan

Ali

Habib

2020

Plasma Phys. Control. Fusion

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Propagation characteristics (resonances, propagation regions, and cutoffs) of ordinary waves (perpendicularly propagating electromagnetic waves) are studied in a relativistic electron plasma by using the kinetic model. The dispersion relation for the ordinary mode (O-mode) in a relativistic electron plasma is investigated by employing the Maxwell-Boltzmann-Jüttner distribution function. As the integration in the relativistic dispersion relation cannot be done analytically so an approximated value is obtained using the trapezoidal rule. Various modes of propagation for the ordinary waves are observed for each harmonic number n due to the relativistic effects defined by the value η = mc 2 kBTe . We also observe that the high-temperature relativistic plasma environment is more transparent for the O-mode as compared to weakly relativistic and non-relativistic plasma environments. Moreover, the cutoff points are shifted to lower values in the relativistic limit.

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Linear and nonlinear analysis of Ion-Temperature-Gradient (ITG) driven mode in the asymmetric pair-ion magnetoplasma

Razzaq¹,

Ehsan²,

Mirza³

et al. 2022

Phys. Scr.

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We have investigated linear and nonlinear dynamics of ion-temperature-gradient driven drift mode for Maxwellian and non Maxwellian pair-ion plasma embedded in an inhomogeneous magnetic field having gradients in ion's temperature and number density. Linear dispersion relations are derived and analyzed analytically as well as numerically for different cases. It has been found that growth rate of instability increases with increasing η.By using the transport equations of Braginskii, model, a set of nonlinear equations are derived. In the nonlinear regime, soliton structures are found to exist. Our numerical analysis shows that amplitude of solitary waves increases by increasing ion to electron number density ratio. These solitary structures are also found to be sensitive to non thermal kappa and Cairns distributed electrons. Our present work may contribute a good illustration of the observation of nonlinear solitary waves driven by the ITG mode in magnetically confined pair-ion plasmas and space pair-ion plasmas as the formation of localized structures along drift modes is one of the striking reasons for L-H transition in the region of improved confinements in magnetically confined devices like tokamaks.

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Propagation of Bernstein waves in weakly relativistic pair ion plasma

Cited by 5 publications

References 38 publications

Propagation characteristics of parallel propagating waves in a relativistic magnetized electron plasma

Propagation characteristics of parallel propagating waves in a relativistic magnetized electron plasma

Characteristics of ordinary mode in fully relativistic electron plasma

Linear and nonlinear analysis of Ion-Temperature-Gradient (ITG) driven mode in the asymmetric pair-ion magnetoplasma

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