On the Boltzmann relation in a cold magnetized plasma

Nasi, L.; Raimbault, J.-L.
November 2010
Physics of Plasmas;Nov2010, Vol. 17 Issue 11, p113513
Academic Journal
A systematic and exact comparison between the forces acting on magnetized electrons in a current-free plasma is considered within a fluid model. We show that the Boltzmann relation is fulfilled in the drift-diffusion approximation when (hi/he)(1+he2)/(1+hi2)<1 where he (or hi) is the ratio of the electron (or ion) cyclotron to the collision frequency. When the nonlinear inertia terms are taken into account, the previous criterion is too rough and must be modified. In particular it is proved that the Boltzmann relation is not uniformly valid in the plasma. The case of bounded plasmas where the electron temperature must be determined self-consistently is discussed in detail.


Related Articles

  • Weibel instability in a plasma with nonzero external magnetic field. Pokhotelov, O. A.; Balikhin, M. A. // Annales Geophysicae (09927689);Jul2012, Vol. 30 Issue 7, p1051 

    The theory of the Weibel instability is generalized for the case of a plasma immersed in a nonzero external magnetic field. It is shown that the presence of this external field modifies the dispersion relation for this mode which now possesses a nonzero frequency. The explicit expression for the...

  • Enhanced production of ECR plasma by using pulse mode microwaves on a large bore ECRIS with permanent magnets. Kato, Yushi; Kiriyama, Ryutaro; Takenaka, Tomoya; Kurisu, Yosuke; Nozaki, Dai; Yano, Keisuke; Sato, Fuminobu; Iida, Toshiyuki // AIP Conference Proceedings;Nov2012, Vol. 1496 Issue 1, p426 

    In order to enhance the efficiency of an electron cyclotron resonance (ECR) plasma for a broad and dense ion beam source at low pressure, the magnetic field configuration is constructed by all permanent magnets. By using the pulse mode, we aim at the generation of plasma with parameters that...

  • Linear and nonlinear verification of gyrokinetic microstability codes. Bravenec, R. V.; Candy, J.; Barnes, M.; Holland, C. // Physics of Plasmas;Dec2011, Vol. 18 Issue 12, p122505 

    Verification of nonlinear microstability codes is a necessary step before comparisons or predictions of turbulent transport in toroidal devices can be justified. By verification we mean demonstrating that a code correctly solves the mathematical model upon which it is based. Some degree of...

  • Magnetically Induced Transparency and Its Application as an Accelerator. Hur, M. S.; Wurtele, J. S.; Shvets, G. // AIP Conference Proceedings;2002, Vol. 647 Issue 1, p802 

    Recently it was found [1-3] that a magnetized plasma can be made transparent to a righthand polarized cyclotron frequency resonant wave in the presence of a strong pump or a helical magnetic wiggler Theory predicts and simulations verify that the group velocity of the probe is slow, and the...

  • Possible energy gain for a plasma-liner-driven magneto-inertial fusion concept. Knapp, C. E.; Kirkpatrick, R. C. // Physics of Plasmas;Jul2014, Vol. 21 Issue 7, p1 

    A one-dimensional parameter study of a Magneto-Inertial Fusion (MIF) concept indicates that significant gain may be achievable. This concept uses a dynamically formed plasma shell with inwardly directed momentum to drive a magnetized fuel to ignition, which in turn partially burns an...

  • Design and validation of the ball-pen probe for measurements in a low-temperature magnetized plasma. Bousselin, G.; Cavalier, J.; Pautex, J. F.; Heuraux, S.; Lemoine, N.; Bonhomme, G. // Review of Scientific Instruments;Jan2013, Vol. 84 Issue 1, p013505 

    Ball-pen probes have been used in fusion devices for direct measurements of the plasma potential. Their application in low-temperature magnetized plasma devices is still subject to studies. In this context, a ball-pen probe has been recently implemented on the linear plasma device Mirabelle....

  • Density fluctuation effects on electron cyclotron emission correlation measurements in optically gray plasmas. Rempel, T. D.; Gandy, R. F.; Wootton, A. J. // Review of Scientific Instruments;Jun94, Vol. 65 Issue 6, p2044 

    Measurements of electron temperature using electron cyclotron emission (ECE) may be contaminated by density effects in plasmas with low optical depth. ECE intensity fluctuations in these plasmas will include a component dependent on density fluctuations as well. Correlation measurements, which...

  • Resonant-magnetic-perturbation-induced plasma transport in H-mode pedestals. Callen, J. D.; Cole, A. J.; Hegna, C. C. // Physics of Plasmas;Nov2012, Vol. 19 Issue 11, p112505 

    Plasma toroidal rotation reduces reconnection of externally applied resonant magnetic perturbation (RMP) fields δB on rational (q = m/n) magnetic flux surfaces. Hence, it causes radial perturbations δBρm/n to be small there, and thus inhibits magnetic island formation and stochasticity...

  • Fractional diffusion in plasma turbulence. Del-Castillo-Negrete, D.; Carreras, B. A.; Lynch, V. E. // Physics of Plasmas;Aug2004, Vol. 11 Issue 8, p3854 

    Transport of tracer particles is studied in a model of three-dimensional, resistive, pressure-gradient-driven plasma turbulence. It is shown that in this system transport is anomalous and cannot be described in the context of the standard diffusion paradigm. In particular, the probability...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics