Physics 777 Plasma Physics and Magnetohydrodynamics (MHD) Instructor: Gregory Fleishman Lecture 1. Introduction 2 September 2008

Plan of the Lecture Introductory Notes About the Course: background, methodology, goals, structure, schedule, homework/written report format and requirements What is the plasma? Single particle motions Basic equations, various approaches to the plasma treatment

Section 1. Introductory Notes NameCSTR/ Non InterestsComment Fleishman, Gregory Y Solar Physics, Plasma Theory, Nonthermal processes, Radiation 5569 Hor, Yew Kim, Yong Li, Yixuan Park, Sung-Hong Shaw, Bryan Ulanski, Emily Urtiev, Fedor

Section 2. About the Course Background: Classical and Quantum Mechanics, Electrodynamics, Statistical Physics, Calculus, Algebra, Differential Equations Goals: understand basic ideas, approaches, and methods of the plasma physics with the emphasis on emission and transport of the radiation, particle acceleration, and applications to the solar physics and astrophysics Methodology: theoretical physics; the most important formulae will typically be derived during the classes Course Outline: the course is arranged to provide self-recitations and cross-referencing, thus the most important ingredients will be discussed twice or more (although from different perspectives and by different approacheshttp://web.njit.edu/~gfleishm Books and Other Sources: whenever possible, I will follow the Somov (Part I and II) books including the equation numbering. In the Lecture Notes I will use data, pictures, etc available from open internet sources, books, and scientific papers. I will try to maintain the appropriate links in my webpage and citations in my Lecture Notes. Required books are available at the CSTR Homework/written report: all the homework assignments must be collected in a single tex/pdf files organized as a research paper (e.g., with ApJ style). Each homework must compose a section (with the appropriate number of subsections) of the paper. Sections “Introduction”, “Discussion”, and “Conclusions” are supposed to originate from the work on individual research topic assigned for the written report project. Some level of original research is highly desirable within the written report work.

Section 3. What is the Plasma? Subsection 3.1. Ionization processes M. J. Aschwanden. Physics of the Solar Corona

Subsection 3.2. Ionization equilibrium Boltzman eq. Bound-free tr. Statistical weight Saha equation, 1920

Galaxies NGC 5866 Hoag's Object Antennae galaxies M82, starburst galaxy Jet, M87 A radio map of the galaxy Centaurus A (upper left and lower right) is overlaid across the optical image (center), showing two lobes from the jets being generated by an active nucleus. NGC NGC 1300, spiral galaxy300 NASA/HST Subsection 3.3. Examples of the natural plasmas

Interstellar Medium (ISM) Table 1: Components of the interstellar medium [1] [1] du/public/tutorial /ISM.html Cygnus loopCas A Crab nebula 1—5% Fractional Volume < 1% 10—20% 20—50% 30—70% H II regions < 1% ~ —10 4

Sun and Solar System

Polar lights after flare of

Solar Cycle

The Sun is active

Новый взгляд на Солнце UV observations by TRACE satellite: Hot magnetic loops

Release of the magnetic energy gives rise to the phenomenon of the solar flare

Synchrotron Radio Emission 17 GHz 34 GHz

Extreme plasmas

Subsection 3.4. Plasma Regimes White dwarfs Neutron stars GRB b.njit.ed u/~leejw /

Subsection 3.5. Plasma Parameters Temperature, T (K); kT (erg) Density, n e, n i (cm -3 ); Magnetic field B (G) Thermal velocity Plasma frequency Debye radius

Continued Gyrofrequency Larmor radius Plasma parameter

Section 4. Particle motion in a given field.

Subsection 4.1. Particle motion in a constant uniform non-magnetic field

Subsection 4.2. Particle motion in a constant uniform magnetic field

Subsection 4.3. Drifts

Drifts

Section 5. Basic equations Subsection 5.1. Maxwell equations and equations of motion

Subsection 5.2. Kinetics theory Continuity in phase space Liouville’s theorem Kinetic equation Distribution function Distribution function for a single particle Averaging over phase space, time, and ensemble

Statistical averaging, collisional integral

Subsection 5.3. Macroscopic treatment

Macroscopic treatment

Subsection 5.4. Set of MHD equations

Where

Subsection 5.5. Ideal MHD equations

Section 6. Homework Calculate plasma parameters for various plasmas considered during the lecture (various components of ISM, Sun, and other stars) Assuming the magnetic field of the Galaxy is about 10 mkG, and size of 20 kpc, find for what energy of electron (proton) the Larmor radius will be equal to the Galaxy size Calculate the particle trajectory when electric field is parallel to the magnetic field Derive formulae for gradient drift

FASR

Сибирский Солнечный Радиотелескоп (ССРТ) Siberian Solar Radio Telescope (SSRT)

Радиогелиограф в Нобеяме Nobeyama Radiohelioghaph