Theory of weakly coupled relativistic plasma: diffusion and transport across a magnetic field

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

doi:10.1088/0305-4470/28/20/005

Cited by 8 publications

(10 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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: 63%

“…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%

“…16 Alternatively, E arises by induction owing to the motion of the diamagnetic plasma. [12][13][14][15] As usual [12][13][14][15] we introduce the Chapman-Enskog-type expansion of distribution function in two small parameters ␣(ϭ(a/N)(dN/dx)) and ␤(ϭ1/) with their usual definitions valid for collisional plasma as …”

Section: Basic Theory and Computation Of Transport Coefficientsmentioning

confidence: 99%

“…͑18͒ in Eq. ͑8͒ and solving it in the usual way, [12][13][14][15] one can obtain the first order perturbed function in the form…”

Section: ͑13͒mentioning

confidence: 99%

See 3 more Smart Citations

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

Mohanty¹,

Baral²

2001

Physics of Plasmas

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 63%

Section: Basic Theory and Computation Of Transport Coefficientsmentioning

confidence: 99%

Section: Basic Theory and Computation Of Transport Coefficientsmentioning

confidence: 99%

“…͑18͒ in Eq. ͑8͒ and solving it in the usual way, [12][13][14][15] one can obtain the first order perturbed function in the form…”

Section: ͑13͒mentioning

confidence: 99%

See 2 more Smart Citations

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

Mohanty¹,

Baral²

2001

Physics of Plasmas

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

Transport Processes in a Relativistic Plasma

Pike

2017

Particle Interactions in High-Temperature Plasmas

View full text Add to dashboard Cite

Theory of weakly coupled relativistic plasma: diffusion and transport across a magnetic field

Cited by 8 publications

References 14 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

Transport coefficients of a relativistic plasma

Transport Processes in a Relativistic Plasma

Contact Info

Product

Resources

About