Bulletin of the American Physical Society
73rd Annual Gaseous Electronics Virtual Conference
Volume 65, Number 10
Monday–Friday, October 5–9, 2020; Time Zone: Central Daylight Time, USA.
Session BM2: Tutorial I: Plasma Physics Fundamentals ILive
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Chair: Greg Severn, University of San Diego |
Monday, October 5, 2020 8:30AM - 8:45AM Live |
BM2.00001: Plasma Two Ways: Foundations of Kinetic and Fluid Models of Plasma, a Tutorial Invited Speaker: Gregory Severn This tutorial will present a pedagogical introduction to plasma kinetic and fluid equations, emphasizing theoretical foundations for the two common plasma models, as well as their numerical solution; particularly particle-in-cell and two-fluid. The intended audience is graduate students, as well as colleagues who work on more applied topics or who are changing areas of research and who seek an introduction to the foundations of plasma model equations, the physical processes included and excluded from different approximations, and numerical methods used to solve these equations. In order to focus on a definitive example, each of the theoretical models and numerical solution techniques will be applied to an experimentally-motivated problem of streaming instabilities in the plasma-boundary transition region. The theory will be broadly applicable, but the example chosen to illustrate distinguishing features of kinetic and fluid models. [Preview Abstract] |
Monday, October 5, 2020 8:45AM - 10:15AM Live |
BM2.00002: Using the plasma fluid equations to understand two stream instability and vice versa Invited Speaker: Steven Shannon The plasma fluid equations, derived by taking velocity moments of the Boltzmann equation, are one of the most heavily employed sets of equations used in studying basic plasma phenomena. When combined with Maxwell’s equations, a large fraction of the plasma universe can be studied analytically and computationally. The two stream problem presents a simple framework from which the utility of the fluid equations in capturing plasma behavior can be demonstrated and compared against plasma models that employ Boltzmann or Vlasov equations directly instead of using their velocity moments to obtain a fluid representation. In this tutorial, the two stream instability will be used to introduce the fluid equations, the derivation of the plasma dispersion relation, and the determination of stability for a plasma system. [Preview Abstract] |
Monday, October 5, 2020 10:15AM - 10:30AM |
BM2.00003: Break (10:15am - 10:30am) |
Monday, October 5, 2020 10:30AM - 12:00PM Live |
BM2.00004: Foundations of Plasma Kinetic and Dielectric Response Theory Invited Speaker: Scott Baalrud This talk will review the foundations of plasma kinetic and linear dielectric response theory, as well as its application to predicting the stability properties of low temperature plasmas. Plasma kinetic theory for the reduced phase-space distribution will be derived by coarse graining the exact N-body Klimontovich description. In the limit that interactions between charged particles are weak, this is approximated by the Vlasov equation. The Vlasov equation can be used to compute the linear dielectric response function for a plasma, which describes the dispersion and growth or damping of fluctuations, including Landau damping. A general stability condition called the Penrose criterion can be obtained by applying Nyquist’s method to the plasma dielectric response function. The Landau damping, and growth, of waves predicted by the kinetic theory has no analog in fluid theory. To demonstrate this, stability conditions in the presence of counter-streaming populations, as are common near boundaries of low-temperature plasmas, will be investigated. Connections with the fluid limit and nonlinear solutions from PIC simulations will also be discussed. [Preview Abstract] |
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