Relativistic theory of cross-field transport and diffusion in a plasma

Mohanty, J. N.; Baral, K. C.

doi:10.1063/1.871781

Cited by 20 publications

(20 citation statements)

References 36 publications

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“…The results derived here are easily recovered in nonrelativistic approximations of the relativistic beam-plasma mode 12 and the early works. [13][14][15][16][17][18][19][20] Hence, the beam plasma described here is correctly interpreted.…”

Section: Introductionmentioning

confidence: 82%

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Cross field diffusion and transport in a nonrelativistic beam-driven magnetoplasma: Collisional kinetics

Mohanty¹,

Baral²

2001

Physics of Plasmas

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Streaming or beam-driven kinetic theory is formulated for a nonrelativistic and collisional plasma diffusing across magnetic field lines, including small density and temperature gradient. Explicit formulas for modified transport coefficients are presented and their dependence on streaming parameter (V0) is discussed both qualitatively and quantitatively, while retaining the exponent in normalization intact. The dramatic results concerning the beam feature reveal that the electrical resistivity (η⊥) and thermal conductivity (K) diminish sharply with the increase in temperature for varying V0 in the limit of T+=T−=108 K; it approaches minimal range to resemble a rectangular hyperbola, while only the thermal conductivity (K) shows a diminishing trend with increasing (V0). The thermoelectric coefficient (λ) is almost independent of temperature, though it increases with increasing streaming.

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Section: Introductionmentioning

confidence: 82%

“…The diffusion of a singly charged electron-ion plasma species across a magnetic field in the presence of a beam or streaming mass motion is described by the well-known collisional Boltzmann transport equation: [12][13][14][15] …”

Section: Basic Theory and Computation Of Transport Coefficientsmentioning

confidence: 99%

Cross field diffusion and transport in a nonrelativistic beam-driven magnetoplasma: Collisional kinetics

Mohanty¹,

Baral²

2001

Physics of Plasmas

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“…Moreover, since the gyrokinetic transformation is obtained to the second order in terms of the ratio of the Larmor radius to the inhomogeneity scale, the theory can be applied also to the investigation of finite-Larmor radius effects. Another interesting aspect is that in the present theory the wave field is no longer limited in frequency and the wavelength, i.e., ω/Ω c ∼ O(1), k ρ L ∼ O (1), so that the class of admissible waves is broader than the usual "drift-Alfven perturbations" and can include the magneto-sonic waves, for example.…”

Section: Resultsmentioning

confidence: 99%

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confidence: 99%

Relativistic kinetic theory of magnetoplasmas

Beklemishev¹,

Nicolini

Tessarotto³

2005

AIP Conference Proceedings

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Abstract.Recently, an increasing interest in astrophysical as well as laboratory plasmas has been manifested in reference to the existence of relativistic flows, related in turn to the production of intense electric fields in magnetized systems [1]. Such phenomena require their description in the framework of a consistent relativistic kinetic theory, rather than on relativistic MHD equations, subject to specific closure conditions. The purpose of this work is to apply the relativistic single-particle guiding-center theory developed by Beklemishev and Tessarotto [2], including the nonlinear treatment of small-wavelength EM perturbations which may naturally arise in such systems [3]. As a result, a closed set of relativistic gyrokinetic equations, consisting of the collisionless relativistic kinetic equation, expressed in hybrid gyrokinetic variables, and the averaged Maxwell's equations, is derived for an arbitrary four-dimensional coordinate system.

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“…Braams and Karney [19,20], using an expansion of the relativistic Fokker-Planck collision operator in spherical harmonics, derived the electrical conductivity of a non-magnetized plasma with arbitrary ionic charge. Mohanty and Baral [21,22] used a modified…”

Section: Introductionmentioning

confidence: 99%

Transport coefficients of a relativistic plasma

Pike

Rose

2016

Phys. Rev. E

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In this work, a self-consistent transport theory for a relativistic plasma is developed.Using the notation of Braginskii [S. I. Braginskii, in Reviews of Plasma Physics, ed. M. A. Leontovich (1965), Vol. 1, p.174], we provide semi-analytical forms of the electrical resistivity, thermoelectric and thermal conductivity tensors for a Lorentzian plasma in a magnetic field.This treatment is then generalized to plasmas with arbitrary atomic number by numerically solving the linearized Boltzmann equation. The corresponding transport coefficients are fitted by rational functions in order to make them suitable for use in radiation-hydrodynamic simulations and transport calculations. Within the confines of linear transport theory and on the assumption that the plasma is optically thin, our results are valid for temperatures up to a few MeV. By contrast, classical transport theory begins to incur significant errors above k B T ∼ 10 keV, e.g., the parallel thermal conductivity is suppressed by 15% at k B T = 20 keV due to relativistic effects.

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Relativistic theory of cross-field transport and diffusion in a plasma

Cited by 20 publications

References 36 publications

Cross field diffusion and transport in a nonrelativistic beam-driven magnetoplasma: Collisional kinetics

Cross field diffusion and transport in a nonrelativistic beam-driven magnetoplasma: Collisional kinetics

Relativistic kinetic theory of magnetoplasmas

Transport coefficients of a relativistic plasma

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