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

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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.

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%

Section: Basic Theory and Computation Of Transport Coefficientsmentioning

confidence: 99%

“…͑6͒ by v L , integrate it over velocity space and evaluate the resulting equation in the usual way 12 to obtain the modified equation of hydrostatic equilibrium as "Pϭ…”

Section: ͑9͒mentioning

confidence: 99%

Section: Basic Theory and Computation Of Transport Coefficientsmentioning

confidence: 99%

See 3 more Smart Citations

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

Mohanty¹,

Baral²

2001

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Diffusion and transport phenomena in a two-component singly charged magnetized and anisotropic plasma stream

Mohanty¹,

Baral²

2000

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The presence of a beam in an electron-ion plasma embedded in magnetic field lines entails streaming or mass motion of plasma species. It causes a kind of energy dissipation (v 0 "p Ϯ ) in the plasma, where v 0 represents (v 0 Ӷc) streaming velocity of the species in the same frame and system, transverse to the direction of the applied uniform magnetic field. A modified Chapman-Enskog collisional analysis is employed in the calculation of the flux across the magnetic field, assuming a small ratio of gyroradius to the density inhomogeneity scale length and particle mean-free path. Explicit formulas concerning diffusion and modified transport coefficients are analytically derived. The EÃB drift velocity is found to be independent of streaming velocity (v 0 ), and the electrical resistivity ( Ќ ) decreases slowly with increasing v 0 , whereas the thermoelectric coefficient ͑͒ registers marked enhancement; however, the thermal conductivity ͑K͒ decreases slowly with the rise in streaming parameters. In the limit V 0 →O, early nonstreaming results are recovered. It is also found that Ќ , and K all decrease with the increase in thermal energy. In addition, the results are of relevance to solar flares, sunspots, etc., and the influence of streaming in fusion temperature (kT→1 keV) range is equally emphasized.

Electrostatic waves in streaming magnetized plasma: Linearly independent polarized modes

Naik¹,

Mohanty²

2001

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The evolution of two linearly independent polarized modes due to transverse propagation of electrostatic waves in a two-component streaming magnetic plasma is analytically studied. The modified frequency spectra reveal that the refractive index and amplification factor markedly increase with the rise in thermal energy, especially in strong magnetic-field lines (B0∼103 kG). However, with the increase in streaming velocity, the refractive index sharply diminishes. In weak magnetic-field lines (B0∼10−2 kG), the refractive index decays with the increase in thermal energy, whereas the amplification shows an increasing trend.