Collective Transport in Plasmas

Dawson, J. M.; Okuda, H.; Rosen, Bernard

doi:10.1016/b978-0-12-460816-0.50013-0

Cited by 19 publications

(14 citation statements)

References 26 publications

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“…For sufficiently high density the suppression of electron thermal conduction should be classical, that is (l+co e^t e^)', not Bohm-like. [22] It does not appear to be necessary to magnetically confine the magnetized plasma by insuring demanding that co iii > 1; it is only necessary to have co gte > 1 • Typically, in a Z= 1 plasma the cOgTe ~ SOcOiTi, so that the electron thermal conductivity can be drastically reduced without magnetizing the ions. However, electrostatic forces within the plasma keep the electrons and ions together ensuring neutrality, and for densities in the interesting part of the MIF/MTF parameter space, magnetohydrodynamics (MHD) is a good approximation, so no matter the value of cOiTi, the field and plasma move together.…”

Section: Altering the Fusion Physicsmentioning

confidence: 98%

“…It consists of 1) creating of a warm plasma with a closed magnetic field strong enough to reduce electron thermal conduction, 2) operating at lower densities than IFE (but much higher than MFE) in order to reduce radiation losses, and 3) compressing the plasma and embedded field to fusion conditions. [21][22][23][24][25][26][27][28] Early experiments on wall confinement [28,29] and the IFE theory lead to early experiments, [23,24] but later proposed variants [31,32] are based on a field-reversed configuration with a guide field. 1-D & 2-D calculations [4,24,32,33] indicate that both approaches can provide adequate compression of the magnetized plasma, i.e., sufficient to initiate thermonuclear bum.…”

Section: Altering the Fusion Physicsmentioning

confidence: 99%

See 1 more Smart Citation

A Tutorial on Ignition and Gain for Small Fusion Targets

Kirkpatrick¹

2009

AIP Conference Proceedings

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Section: Altering the Fusion Physicsmentioning

confidence: 98%

Section: Altering the Fusion Physicsmentioning

confidence: 99%

A Tutorial on Ignition and Gain for Small Fusion Targets

Kirkpatrick¹

2009

AIP Conference Proceedings

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“…A detai. led description of the model is given in Dawson et al (1976). Our model retains the full dynamics for both electrons and ions, and so •the integration time step (At = 0.20•pe -1) is determined by the electron motion.…”

Section: Simulation Modelmentioning

confidence: 99%

Simulation of the current‐driven electrostatic ion cyclotron instability

Pritchett¹,

Ashour‐Abdalla²,

Dawson³

1981

Geophysical Research Letters

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Particle simulations are employed in a self‐consistent investigation of the growth and saturation of current‐driven instabilities along auroral field lines. Ion cyclotron waves are found to grow to levels eϕ/Te ∼ 0.2‐0.4, which are comparable with the levels observed by the S3‐3 satellite. In the present initial‐value calculations, saturation is due to plateau formation on the electron distribution function. Excitation of the ion cyclotron waves leads to moderate (∼ 40%) perpendicular heating of the ions but does not produce a high‐energy tail. The associated anomalous resistivity is relatively small, ν*/ωpe ∼ 1 × 10−4. Implications of these results for observation of ion cyclotron waves on auroral field lines are discussed.

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“…Particle-in-cell (PIC) simulation is an important tool for plasma physics (Potter 1973;Dawson, Okuda & Rosen 1976;Hockney & Eastwood 1981;Dawson 1983;Birdsall & Langdon 1991). A structured mesh is easy to implement and widely used in PIC simulations.…”

Section: Introductionmentioning

confidence: 99%

Geometric electrostatic particle-in-cell algorithm on unstructured meshes

et al. 2021

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We present a geometric particle-in-cell (PIC) algorithm on unstructured meshes for studying electrostatic perturbations with frequency lower than electron gyrofrequency in magnetized plasmas. In this method, ions are treated as fully kinetic particles and electrons are described by the adiabatic response. The PIC method is derived from a discrete variational principle on unstructured meshes. To preserve the geometric structure of the system, the discrete variational principle requires that the electric field is interpolated using Whitney 1-forms, the charge is deposited using Whitney 0-forms and the electric field is computed by discrete exterior calculus. The algorithm has been applied to study the ion Bernstein wave (IBW) in two-dimensional magnetized plasmas. The simulated dispersion relations of the IBW in a rectangular region agree well with theoretical results. In a two-dimensional circular region with fixed boundary condition, the spectrum and eigenmode structures of the IBW are obtained from simulations. We compare the energy conservation property of the geometric PIC algorithm derived from the discrete variational principle with that of previous PIC methods on unstructured meshes. The comparison shows that the new PIC algorithm significantly improves the energy conservation property.

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Collective Transport in Plasmas

Cited by 19 publications

References 26 publications

A Tutorial on Ignition and Gain for Small Fusion Targets

A Tutorial on Ignition and Gain for Small Fusion Targets

Simulation of the current‐driven electrostatic ion cyclotron instability

Geometric electrostatic particle-in-cell algorithm on unstructured meshes

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