Plasma and gas are both made up of particles, but plasma has a higher energy state due to the presence of charged particles. This allows plasma to exhibit unique properties such as electrical conductivity and response to magnetic fields.
Plasma physics can be a challenging field to study due to the complex nature of plasma and the need for specialized equipment and facilities. However, with a strong foundation in physics and mathematics, it can be a fascinating and rewarding area of research.
Plasmas are 'fluids' of charged particles. The motion of these charged particles is controlled by the electromagnetic fields which are imposed from outside and by the fields which the moving charged particles themselves set up. This module will cover the equations which describe such plasmas. It will examine some predictions derived on the basis of these equations and compare these with laboratory observations and with remote observations of astrophysical systems.
The module will also discuss the physics of thermonuclear fusion, which is a candidate solution for the energy demands of our society. Fusion occurs only at temperatures at which all matter is ionized and exists as a plasma. The module discusses the two main approaches: inertial confinement and magnetic confinement, with the emphasis on the latter since it is further developed. The module will deal with both the physics in the plasma as well as with the boundary conditions that must be satisfied for a working reactor.
The module should discuss particle dynamics in plasmas, and aspects of nuclear fusion and advanced plasma physics relevant to the construction of fusion power stations. The interaction of EM fields with a fully ionised fluid (plasma) should be considered in detail leading to ideas of magnetohydrodynamics.
Foundations, Debye shielding, Plasma oscillations, Gyration and drifts; Dielectric description of magnetised plasmas;
Dispersion relations for high-frequency EM waves in a cold plasma;
Elements of plasma kinetics: Landau damping, Bump-on-tail instability; Magnetohydrodynamics: Framework, Equilibria, Waves, Instabilities;
Fusion Foundations, Lawson criterion;
Cylindrical equilibria, including z pinch;
Mirror machines, Tokamaks and stellarators; Laser-plasma interaction and inertial confinement fusion; Transport and turbulence
Nicholas Krall is an American theoretical plasma physicist. Dr Krall has authored over 160 science publications[1] and has contributed to the fields of electron scattering, plasma stability, high energy nuclear physics and magnetohydrodynamics. He has worked at General Atomics, the University of California, San Diego, the Naval Research Laboratory and University of Maryland.[2]
He received his BS in physics from the University of Notre Dame in 1954 and his PhD in theoretical physics from Cornell University in 1959. After graduation, Dr. Krall worked as a staff scientist and a manager at General Atomics in San Diego until 1967. He worked closely with physicist Marshall Rosenbluth.[3][4] After general atomics he accepted a position as professor of physics at the University of Maryland, College Park in 1967 and held that position for six years.[5] While at Maryland he was appointed director joint program for plasma physics, at the Naval Research Laboratory. He held that position until 1973. He also co-wrote a textbook[6] on plasma physics with Alvin Trivelpiece and in 1973 he won a Guggenheim Fellowship. He was a visiting professor at the University of California, San Diego and became a vice president at Science Applications, Inc. until 1978. He made contributions to the plasma behavior in Tokamaks and Stellarators.[7][8][9] He was appointed chairman of the US Department of Energy's Office of Science committee on alternate fusion concepts in 1977. He became executive vice president and chief scientist at Jaycor Inc in 1978 and held that position until at least 1985.[10] He co-founded (with Stephen O. Dean and Alvin Trivelpiece) the Fusion Power Associates, a Washington-based non for profit organization in 1979 and served as board chairman in 1983.[2][11] In 1980 he served as chairman of division of plasma physics for the American Physical Society.[12] In January 1988, he formed a consulting firm, Krall Associates.[citation needed] He consulted with Robert W. Bussard in the late 1980s and early 1990s on Polywell research.[13]
Dr. Krall was born in Kansas City on February 16, 1932. He is twice married and is the father of six children and grandfather of nine. Even after retirement, he continues contributing to research within his field.[2]
In the Earth's magnetosphere, sunspots and magnetic cusp fusion devices, the boundary between the plasma and the magnetic field is marked by a diamagnetic current layer with a rapid change in plasma pressure and magnetic field strength. First principles numerical simulations were conducted to investigate this boundary layer with a spatial resolution beyond electron gyroradius while incorporating a global equilibrium structure. The boundary layer thickness is discovered to be on the order of electron gyroradius scale due to a self-consistent electric field suppressing ion gyromotion at the boundary. Formed at the scale of the electron gyroradius, the electric field plays a critical role in determining equilibrium structure and plasma transport. The discovery highlights the necessity to incorporate electron gyroradius scale physics in studies aimed at advancing our understanding of fusion devices, the magnetosphere and sunspots.
Figure 1. A schematic of a magnetic picket fence plasma system and simulation domain. The schematic shows the contours of magnetic field magnitude and magnetic field lines from the coils without the presence of plasma. The plasma injection region in the central part of the picket fence is shown in graded red and the loss boundary is shown at the right side of the simulation domain as a dotted line.
Figure 2. A temporal setup showing the initialization phase and the steady-state phase in the simulation using a unit of ion transit time across the coil diameter of the picket fence. The top row shows the sum of particle kinetic energy in the simulation domain and the sum of magnetic field energy associated with diamagnetic current by the plasma multiplied by 100. The bottom row shows temporal variation of plasma injection rates for electrons and ions to sustain the constant total charge and total particle kinetic energy in the system. The results are from Run 4.
Figure 8. Ion trajectories in the steady-state equilibrium with and without an electric field from Run 1. Panels (a,b) show ion trajectories with the self-consistent electric field and magnetic field from the simulation. Panels (c,d) show ion trajectories calculated with only the magnetic field to highlight the role of the electric field at the boundary in determining the thickness of the boundary layer and the plasma flow collimation.
Copyright 2019 Park, Lapenta, Gonzalez-Herrero and Krall. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
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